10211210220200 has 96 divisors (see below), whose sum is σ = 26599324721760. Its totient is φ = 3612811449600.

The previous prime is 10211210220191. The next prime is 10211210220301. The reversal of 10211210220200 is 202201211201.

10211210220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10211210220200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62641022 + ... + 62803821.

It is an arithmetic number, because the mean of its divisors is an integer number (277076299185).

Almost surely, 2^{10211210220200} is an apocalyptic number.

10211210220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211210220200 is an abundant number, since it is smaller than the sum of its proper divisors (16388114501560).

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

10211210220200 is a wasteful number, since it uses less digits than its factorization.

10211210220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125444907 (or 125444898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10211210220200 its reverse (202201211201), we get a palindrome (10413411431401).

The spelling of 10211210220200 in words is "ten trillion, two hundred eleven billion, two hundred ten million, two hundred twenty thousand, two hundred".