10102111111200 has 144 divisors (see below), whose sum is σ = 32903694403776. Its totient is φ = 2692149427200.

The previous prime is 10102111111187. The next prime is 10102111111223. The reversal of 10102111111200 is 211111120101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2339230 + ... + 5067170.

It is an arithmetic number, because the mean of its divisors is an integer number (228497877804).

Almost surely, 2^{10102111111200} is an apocalyptic number.

10102111111200 is a gapful number since it is divisible by the number (10) 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 10102111111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16451847201888).

10102111111200 is an abundant number, since it is smaller than the sum of its proper divisors (22801583292576).

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

10102111111200 is a wasteful number, since it uses less digits than its factorization.

10102111111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729507 (or 2729494 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10102111111200 its reverse (211111120101), we get a palindrome (10313222231301).

The spelling of 10102111111200 in words is "ten trillion, one hundred two billion, one hundred eleven million, one hundred eleven thousand, two hundred".