10100002121200 has 30 divisors (see below), whose sum is σ = 24265255097144. Its totient is φ = 4040000848320.

The previous prime is 10100002121179. The next prime is 10100002121221. The reversal of 10100002121200 is 212120000101.

It is an interprime number because it is at equal distance from previous prime (10100002121179) and next prime (10100002121221).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12625002252 + ... + 12625003051.

Almost surely, 2^{10100002121200} is an apocalyptic number.

10100002121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100002121200 is an abundant number, since it is smaller than the sum of its proper divisors (14165252975944).

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

10100002121200 is a wasteful number, since it uses less digits than its factorization.

10100002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25250005321 (or 25250005310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100002121200 its reverse (212120000101), we get a palindrome (10312122121301).

The spelling of 10100002121200 in words is "ten trillion, one hundred billion, two million, one hundred twenty-one thousand, two hundred".