10120202211200 has 96 divisors (see below), whose sum is σ = 25242781895760. Its totient is φ = 4008778997760.

The previous prime is 10120202211173. The next prime is 10120202211227. The reversal of 10120202211200 is 211220202101.

It is an interprime number because it is at equal distance from previous prime (10120202211173) and next prime (10120202211227).

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 11 ways as a sum of consecutive naturals, for example, 15022649 + ... + 15681848.

Almost surely, 2^{10120202211200} is an apocalyptic number.

10120202211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120202211200 is an abundant number, since it is smaller than the sum of its proper divisors (15122579684560).

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

10120202211200 is a wasteful number, since it uses less digits than its factorization.

10120202211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30704624 (or 30704607 counting only the distinct ones).

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

Adding to 10120202211200 its reverse (211220202101), we get a palindrome (10331422413301).

The spelling of 10120202211200 in words is "ten trillion, one hundred twenty billion, two hundred two million, two hundred eleven thousand, two hundred".