101221001000 has 64 divisors (see below), whose sum is σ = 270693895680. Its totient is φ = 34704340800.

The previous prime is 101221000967. The next prime is 101221001051. The reversal of 101221001000 is 100122101.

101221001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 7223072 + ... + 7237071.

It is an arithmetic number, because the mean of its divisors is an integer number (4229592120).

Almost surely, 2^101221001000 is an apocalyptic number.

101221001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221001000 is an abundant number, since it is smaller than the sum of its proper divisors (169472894680).

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

101221001000 is a wasteful number, since it uses less digits than its factorization.

101221001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14460171 (or 14460157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101221001000 its reverse (100122101), we get a palindrome (101321123101).

The spelling of 101221001000 in words is "one hundred one billion, two hundred twenty-one million, one thousand".