10102111216 has 80 divisors (see below), whose sum is σ = 21349526400. Its totient is φ = 4614914304.

The previous prime is 10102111211. The next prime is 10102111231. The reversal of 10102111216 is 61211120101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 10102111216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102111211) 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, 945295 + ... + 955921.

It is an arithmetic number, because the mean of its divisors is an integer number (266869080).

Almost surely, 2^10102111216 is an apocalyptic number.

10102111216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102111216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10674763200).

10102111216 is an abundant number, since it is smaller than the sum of its proper divisors (11247415184).

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

10102111216 is a wasteful number, since it uses less digits than its factorization.

10102111216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10766 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10102111216 its reverse (61211120101), we get a palindrome (71313231317).

The spelling of 10102111216 in words is "ten billion, one hundred two million, one hundred eleven thousand, two hundred sixteen".