10101022021200 has 240 divisors, whose sum is σ = 35622324936000. Its totient is φ = 2426266828800.

The previous prime is 10101022021199. The next prime is 10101022021213. The reversal of 10101022021200 is 212022010101.

10101022021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2071425 + ... + 4949024.

It is an arithmetic number, because the mean of its divisors is an integer number (148426353900).

Almost surely, 2^{10101022021200} is an apocalyptic number.

10101022021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101022021200 is an abundant number, since it is smaller than the sum of its proper divisors (25521302914800).

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

10101022021200 is a wasteful number, since it uses less digits than its factorization.

10101022021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020590 (or 7020579 counting only the distinct ones).

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

Adding to 10101022021200 its reverse (212022010101), we get a palindrome (10313044031301).

The spelling of 10101022021200 in words is "ten trillion, one hundred one billion, twenty-two million, twenty-one thousand, two hundred".