101201221002000 has 160 divisors (see below), whose sum is σ = 372883127595264. Its totient is φ = 23131707648000.

The previous prime is 101201221001981. The next prime is 101201221002043. The reversal of 101201221002000 is 200122102101.

101201221002000 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 (12).

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, 1204734441 + ... + 1204818440.

Almost surely, 2^{101201221002000} is an apocalyptic number.

101201221002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201221002000 is an abundant number, since it is smaller than the sum of its proper divisors (271681906593264).

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

101201221002000 is a wasteful number, since it uses less digits than its factorization.

101201221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409552914 (or 2409552898 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101201221002000 its reverse (200122102101), we get a palindrome (101401343104101).

The spelling of 101201221002000 in words is "one hundred one trillion, two hundred one billion, two hundred twenty-one million, two thousand".