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101022101101220 = 225132963758317293
BaseRepresentation
bin10110111110000100001010…
…011100110101101010100100
3111020200121200220212020001012
4112332010022130311222210
5101220121230340214340
6554504525040321352
730164414561146565
oct2676041234655244
9436617626766035
10101022101101220
112a209261481582
12b3b6915313258
13444a4601a1570
141ad36d25d616c
15ba2c3b485565
hex5be10a735aa4

101022101101220 has 96 divisors (see below), whose sum is σ = 228585829635072. Its totient is φ = 37280806092288.

The previous prime is 101022101101219. The next prime is 101022101101253. The reversal of 101022101101220 is 22101101220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022101101195 and 101022101101204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5841782894 + ... + 5841800186.

It is an arithmetic number, because the mean of its divisors is an integer number (2381102392032).

Almost surely, 2101022101101220 is an apocalyptic number.

101022101101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022101101220 is an abundant number, since it is smaller than the sum of its proper divisors (127563728533852).

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

101022101101220 is a wasteful number, since it uses less digits than its factorization.

101022101101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27861 (or 27859 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101022101101220 its reverse (22101101220101), we get a palindrome (123123202321321).

The spelling of 101022101101220 in words is "one hundred one trillion, twenty-two billion, one hundred one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2963 5926 7583 11852 14815 15166 17293 29630 30332 34586 37915 38519 59260 69172 75830 77038 86465 98579 151660 154076 172930 192595 197158 224809 345860 385190 394316 449618 492895 770380 899236 985790 1124045 1971580 2248090 4496180 22468429 44936858 51239159 89873716 102478318 112342145 131132819 204956636 224684290 256195795 262265638 292089577 449368580 512391590 524531276 584179154 655664095 666109067 1024783180 1168358308 1311328190 1332218134 1460447885 1704726647 2622656380 2664436268 2920895770 3330545335 3409453294 5841791540 6661090670 6818906588 8523633235 13322181340 17047266470 34094532940 388546542697 777093085394 1554186170788 1942732713485 3885465426970 5051105055061 7770930853940 10102210110122 20204420220244 25255525275305 50511050550610 101022101101220