101020021120200 has 384 divisors, whose sum is σ = 391962962764800. Its totient is φ = 20952857502720.

The previous prime is 101020021120189. The next prime is 101020021120229. The reversal of 101020021120200 is 2021120020101.

101020021120200 is digitally balanced in base 4, 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 95 ways as a sum of consecutive naturals, for example, 12458122 + ... + 18900921.

It is an arithmetic number, because the mean of its divisors is an integer number (1020736882200).

Almost surely, 2^{101020021120200} is an apocalyptic number.

101020021120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020021120200 is an abundant number, since it is smaller than the sum of its proper divisors (290942941644600).

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

101020021120200 is a wasteful number, since it uses less digits than its factorization.

101020021120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31359141 (or 31359132 counting only the distinct ones).

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

Adding to 101020021120200 its reverse (2021120020101), we get a palindrome (103041141140301).

The spelling of 101020021120200 in words is "one hundred one trillion, twenty billion, twenty-one million, one hundred twenty thousand, two hundred".