102211120212120 has 96 divisors (see below), whose sum is σ = 332188779751920. Its totient is φ = 27256082184960.

The previous prime is 102211120212109. The next prime is 102211120212137. The reversal of 102211120212120 is 21212021112201.

102211120212120 is a `hidden beast` number, since 1 + 0 + 2 + 211 + 120 + 212 + 120 = 666.

It is a super-3 number, since 3×102211120212120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 102211120212093 and 102211120212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47111062 + ... + 49232858.

Almost surely, 2^{102211120212120} is an apocalyptic number.

102211120212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211120212120 is an abundant number, since it is smaller than the sum of its proper divisors (229977659539800).

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

102211120212120 is a wasteful number, since it uses less digits than its factorization.

102211120212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255625 (or 2255618 counting only the distinct ones).

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

Adding to 102211120212120 its reverse (21212021112201), we get a palindrome (123423141324321).

The spelling of 102211120212120 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty".