10102011121200 has 240 divisors, whose sum is σ = 33251591690496. Its totient is φ = 2619730713600.

The previous prime is 10102011121199. The next prime is 10102011121243. The reversal of 10102011121200 is 212111020101.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88876405 + ... + 88989995.

Almost surely, 2^{10102011121200} is an apocalyptic number.

10102011121200 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 10102011121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625795845248).

10102011121200 is an abundant number, since it is smaller than the sum of its proper divisors (23149580569296).

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

10102011121200 is a wasteful number, since it uses less digits than its factorization.

10102011121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115652 (or 115641 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102011121200 its reverse (212111020101), we get a palindrome (10314122141301).

The spelling of 10102011121200 in words is "ten trillion, one hundred two billion, eleven million, one hundred twenty-one thousand, two hundred".