10121231101200 has 120 divisors (see below), whose sum is σ = 32439468764928. Its totient is φ = 2697513853440.

The previous prime is 10121231101181. The next prime is 10121231101237. The reversal of 10121231101200 is 210113212101.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10121231101200.

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, 125719 + ... + 4500918.

Almost surely, 2^{10121231101200} is an apocalyptic number.

10121231101200 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 10121231101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219734382464).

10121231101200 is an abundant number, since it is smaller than the sum of its proper divisors (22318237663728).

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

10121231101200 is a wasteful number, since it uses less digits than its factorization.

10121231101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628481 (or 4628470 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10121231101200 its reverse (210113212101), we get a palindrome (10331344313301).

The spelling of 10121231101200 in words is "ten trillion, one hundred twenty-one billion, two hundred thirty-one million, one hundred one thousand, two hundred".