101200211121000 has 64 divisors (see below), whose sum is σ = 315744658706880. Its totient is φ = 26986722964800.

The previous prime is 101200211120977. The next prime is 101200211121011. The reversal of 101200211121000 is 121112002101.

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 15 ways as a sum of consecutive naturals, for example, 16866698854 + ... + 16866704853.

It is an arithmetic number, because the mean of its divisors is an integer number (4933510292295).

Almost surely, 2^{101200211121000} is an apocalyptic number.

101200211121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200211121000 is an abundant number, since it is smaller than the sum of its proper divisors (214544447585880).

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

101200211121000 is a wasteful number, since it uses less digits than its factorization.

101200211121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33733403731 (or 33733403717 counting only the distinct ones).

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

Adding to 101200211121000 its reverse (121112002101), we get a palindrome (101321323123101).

The spelling of 101200211121000 in words is "one hundred one trillion, two hundred billion, two hundred eleven million, one hundred twenty-one thousand".