102211022120 has 32 divisors (see below), whose sum is σ = 242078738400. Its totient is φ = 38732597568.

The previous prime is 102211022117. The next prime is 102211022129. The reversal of 102211022120 is 21220112201.

102211022120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102211022095 and 102211022104.

It is not an unprimeable number, because it can be changed into a prime (102211022129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67243334 + ... + 67244853.

It is an arithmetic number, because the mean of its divisors is an integer number (7564960575).

Almost surely, 2^102211022120 is an apocalyptic number.

102211022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211022120 is an abundant number, since it is smaller than the sum of its proper divisors (139867716280).

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

102211022120 is a wasteful number, since it uses less digits than its factorization.

102211022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134488217 (or 134488213 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102211022120 its reverse (21220112201), we get a palindrome (123431134321).

The spelling of 102211022120 in words is "one hundred two billion, two hundred eleven million, twenty-two thousand, one hundred twenty".