10010112121200 has 120 divisors (see below), whose sum is σ = 32068878304176. Its totient is φ = 2669100800000.

The previous prime is 10010112121159. The next prime is 10010112121271. The reversal of 10010112121200 is 212121101001.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 11956300 + ... + 12766100.

Almost surely, 2^{10010112121200} is an apocalyptic number.

10010112121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010112121200 is an abundant number, since it is smaller than the sum of its proper divisors (22058766182976).

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

10010112121200 is a wasteful number, since it uses less digits than its factorization.

10010112121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820123 (or 820112 counting only the distinct ones).

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

Adding to 10010112121200 its reverse (212121101001), we get a palindrome (10222233222201).

The spelling of 10010112121200 in words is "ten trillion, ten billion, one hundred twelve million, one hundred twenty-one thousand, two hundred".