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101220221022210 = 23256118437198729
BaseRepresentation
bin10111000000111100101011…
…010100010111000000000010
3111021101120002020102222222200
4113000330223110113000002
5101231343003040202320
6555135532210014030
730214630302533643
oct2700745324270002
9437346066388880
10101220221022210
112a285288a63574
12b4291a7277316
134463044b43344
141add128b176ca
15ba7e84834290
hex5c0f2b517002

101220221022210 has 48 divisors (see below), whose sum is σ = 267486879174840. Its totient is φ = 26549566168320.

The previous prime is 101220221022209. The next prime is 101220221022211. The reversal of 101220221022210 is 12220122022101.

It is a happy number.

101220221022210 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 2 + 210 + 22 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (101220221022209) and next prime (101220221022211).

It can be written as a sum of positive squares in 4 ways, for example, as 22026435992289 + 79193785029921 = 4693233^2 + 8899089^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101220221022211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9218593875 + ... + 9218604854.

Almost surely, 2101220221022210 is an apocalyptic number.

101220221022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101220221022210 is an abundant number, since it is smaller than the sum of its proper divisors (166266658152630).

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

101220221022210 is a wasteful number, since it uses less digits than its factorization.

101220221022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18437198803 (or 18437198800 counting only the distinct ones).

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

Adding to 101220221022210 its reverse (12220122022101), we get a palindrome (113440343044311).

The spelling of 101220221022210 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty-one million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 18437198729 36874397458 55311596187 92185993645 110623192374 165934788561 184371987290 276557980935 331869577122 553115961870 829673942805 1124669122469 1659347885610 2249338244938 3374007367407 5623345612345 6748014734814 10122022102221 11246691224690 16870036837035 20244044204442 33740073674070 50610110511105 101220221022210