10120212210200 has 96 divisors (see below), whose sum is σ = 25322001118560. Its totient is φ = 3747503769600.

The previous prime is 10120212210197. The next prime is 10120212210263. The reversal of 10120212210200 is 201221202101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24190412 + ... + 24605211.

It is an arithmetic number, because the mean of its divisors is an integer number (263770844985).

Almost surely, 2^{10120212210200} is an apocalyptic number.

10120212210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120212210200 is an abundant number, since it is smaller than the sum of its proper divisors (15201788908360).

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

10120212210200 is a wasteful number, since it uses less digits than its factorization.

10120212210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48795717 (or 48795708 counting only the distinct ones).

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

Adding to 10120212210200 its reverse (201221202101), we get a palindrome (10321433412301).

The spelling of 10120212210200 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, two hundred ten thousand, two hundred".