101121013000 has 64 divisors (see below), whose sum is σ = 270426499200. Its totient is φ = 34670059200.

The previous prime is 101121012989. The next prime is 101121013003. The reversal of 101121013000 is 310121101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101121013003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7215930 + ... + 7229929.

It is an arithmetic number, because the mean of its divisors is an integer number (4225414050).

Almost surely, 2^101121013000 is an apocalyptic number.

101121013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121013000 is an abundant number, since it is smaller than the sum of its proper divisors (169305486200).

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

101121013000 is a wasteful number, since it uses less digits than its factorization.

101121013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14445887 (or 14445873 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101121013000 its reverse (310121101), we get a palindrome (101431134101).

The spelling of 101121013000 in words is "one hundred one billion, one hundred twenty-one million, thirteen thousand".