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101021220122220 = 223251015556722779
BaseRepresentation
bin10110111110000011010101…
…111100001010111001101100
3111020200112102112010212001100
4112332003111330022321230
5101220112424322402340
6554504301410043100
730164354003021646
oct2676032574127154
9436615375125040
10101021220122220
112a20894a160a62
12b3b670a279490
13444a34c807808
141ad364b5cb896
15ba2bd8e64830
hex5be0d5f0ae6c

101021220122220 has 72 divisors (see below), whose sum is σ = 309465005063760. Its totient is φ = 26672269334400.

The previous prime is 101021220122213. The next prime is 101021220122227. The reversal of 101021220122220 is 22221022120101.

It is a happy number.

101021220122220 is a `hidden beast` number, since 1 + 0 + 10 + 212 + 201 + 22 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (101021220122213) and next prime (101021220122227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101021220122193 and 101021220122202.

It is not an unprimeable number, because it can be changed into a prime (101021220122227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2778343210 + ... + 2778379569.

It is an arithmetic number, because the mean of its divisors is an integer number (4298125070330).

Almost surely, 2101021220122220 is an apocalyptic number.

101021220122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021220122220 is an abundant number, since it is smaller than the sum of its proper divisors (208443784941540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101021220122220 is a wasteful number, since it uses less digits than its factorization.

101021220122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556722895 (or 5556722890 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101021220122220 its reverse (22221022120101), we get a palindrome (123242242242321).

The spelling of 101021220122220 in words is "one hundred one trillion, twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 5556722779 11113445558 16670168337 22226891116 27783613895 33340336674 50010505011 55567227790 66680673348 83350841685 100021010022 111134455580 166701683370 200042020044 250052525055 333403366740 500105050110 561229000679 1000210100220 1122458001358 1683687002037 2244916002716 2806145003395 3367374004074 5051061006111 5612290006790 6734748008148 8418435010185 10102122012222 11224580013580 16836870020370 20204244024444 25255305030555 33673740040740 50510610061110 101021220122220