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2102122212021 = 331319315208009
BaseRepresentation
bin11110100101110000001…
…111110110101010110101
321102221221111210201211000
4132211300033312222311
5233420121241241041
64245411314233513
7304605355661436
oct36456017665265
97387844721730
102102122212021
11740561206217
1229b4a4585899
131232c993ab70
1473a596dd48d
1539a336babb6
hex1e9703f6ab5

2102122212021 has 32 divisors (see below), whose sum is σ = 3530329712000. Its totient is φ = 1225528735104.

The previous prime is 2102122212007. The next prime is 2102122212023. The reversal of 2102122212021 is 1202122212012.

It is a happy number.

2102122212021 is a `hidden beast` number, since 210 + 212 + 221 + 2 + 0 + 21 = 666.

It is not a de Polignac number, because 2102122212021 - 26 = 2102122211957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102122211985 and 2102122212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102122212023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157597336 + ... + 157610673.

It is an arithmetic number, because the mean of its divisors is an integer number (110322803500).

Almost surely, 22102122212021 is an apocalyptic number.

It is an amenable number.

2102122212021 is a deficient number, since it is larger than the sum of its proper divisors (1428207499979).

2102122212021 is a wasteful number, since it uses less digits than its factorization.

2102122212021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315208050 (or 315208044 counting only the distinct ones).

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

Adding to 2102122212021 its reverse (1202122212012), we get a palindrome (3304244424033).

Subtracting from 2102122212021 its reverse (1202122212012), we obtain a palindrome (900000000009).

The spelling of 2102122212021 in words is "two trillion, one hundred two billion, one hundred twenty-two million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 741 2223 6669 315208009 945624027 2836872081 4097704117 5988952171 8510616243 12293112351 17966856513 36879337053 53900569539 77856378223 110638011159 161701708617 233569134669 700707404007 2102122212021