101210121000 has 128 divisors (see below), whose sum is σ = 350861846400. Its totient is φ = 26989358400.

The previous prime is 101210120939. The next prime is 101210121037. The reversal of 101210121000 is 121012101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1847262 + ... + 1901261.

It is an arithmetic number, because the mean of its divisors is an integer number (2741108175).

Almost surely, 2^101210121000 is an apocalyptic number.

101210121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210121000 is an abundant number, since it is smaller than the sum of its proper divisors (249651725400).

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

101210121000 is a wasteful number, since it uses less digits than its factorization.

101210121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748553 (or 3748533 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101210121000 its reverse (121012101), we get a palindrome (101331133101).

The spelling of 101210121000 in words is "one hundred one billion, two hundred ten million, one hundred twenty-one thousand".