102211220101032 has 144 divisors (see below), whose sum is σ = 330720667779060. Its totient is φ = 28413929875968.

The previous prime is 102211220101031. The next prime is 102211220101057. The reversal of 102211220101032 is 230101022112201.

102211220101032 is a `hidden beast` number, since 102 + 211 + 220 + 101 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88792815924036 + 13418404176996 = 9422994^2 + 3663114^2 .

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 = 102211220100996 and 102211220101014.

It is not an unprimeable number, because it can be changed into a prime (102211220101031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 391375333 + ... + 391636404.

Almost surely, 2^{102211220101032} is an apocalyptic number.

102211220101032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211220101032 is an abundant number, since it is smaller than the sum of its proper divisors (228509447678028).

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

102211220101032 is a wasteful number, since it uses less digits than its factorization.

102211220101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783011800 (or 783011786 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102211220101032 its reverse (230101022112201), we get a palindrome (332312242213233).

The spelling of 102211220101032 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty million, one hundred one thousand, thirty-two".