10001020021200 has 360 divisors, whose sum is σ = 39343197464480. Its totient is φ = 2332221465600.

The previous prime is 10001020021169. The next prime is 10001020021211. The reversal of 10001020021200 is 212002010001.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4734406 + ... + 6512805.

Almost surely, 2^{10001020021200} is an apocalyptic number.

10001020021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001020021200 is an abundant number, since it is smaller than the sum of its proper divisors (29342177443280).

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

10001020021200 is a wasteful number, since it uses less digits than its factorization.

10001020021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11247267 (or 11247253 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001020021200 its reverse (212002010001), we get a palindrome (10213022031201).

The spelling of 10001020021200 in words is "ten trillion, one billion, twenty million, twenty-one thousand, two hundred".