10102211120 has 80 divisors (see below), whose sum is σ = 23672294400. Its totient is φ = 4009243392.

The previous prime is 10102211117. The next prime is 10102211129. The reversal of 10102211120 is 2111220101.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10102211129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7752389 + ... + 7753691.

It is an arithmetic number, because the mean of its divisors is an integer number (295903680).

Almost surely, 2^10102211120 is an apocalyptic number.

10102211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102211120 is an abundant number, since it is smaller than the sum of its proper divisors (13570083280).

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

10102211120 is a wasteful number, since it uses less digits than its factorization.

10102211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102211120 its reverse (2111220101), we get a palindrome (12213431221).

The spelling of 10102211120 in words is "ten billion, one hundred two million, two hundred eleven thousand, one hundred twenty".