102212102112021 has 24 divisors (see below), whose sum is σ = 161752745321856. Its totient is φ = 61680862751040.

The previous prime is 102212102112017. The next prime is 102212102112041. The reversal of 102212102112021 is 120211201212201.

102212102112021 is a `hidden beast` number, since 1 + 0 + 221 + 210 + 211 + 2 + 0 + 21 = 666.

It is not a de Polignac number, because 102212102112021 - 2² = 102212102112017 is a prime.

It is a super-3 number, since 3×102212102112021³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212102111985 and 102212102112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212102112011) 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, 2215525165 + ... + 2215571298.

It is an arithmetic number, because the mean of its divisors is an integer number (6739697721744).

Almost surely, 2^{102212102112021} is an apocalyptic number.

102212102112021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212102112021 is a deficient number, since it is larger than the sum of its proper divisors (59540643209835).

102212102112021 is a wasteful number, since it uses less digits than its factorization.

102212102112021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431096713 (or 4431096710 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102212102112021 its reverse (120211201212201), we get a palindrome (222423303324222).

The spelling of 102212102112021 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, one hundred twelve thousand, twenty-one".