10200120022000 has 40 divisors (see below), whose sum is σ = 24663890218032. Its totient is φ = 4080048008000.

The previous prime is 10200120021997. The next prime is 10200120022003. The reversal of 10200120022000 is 22002100201.

It is an interprime number because it is at equal distance from previous prime (10200120021997) and next prime (10200120022003).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×10200120022000⁴ (a number of 53 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200120022003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2550028006 + ... + 2550032005.

Almost surely, 2^{10200120022000} is an apocalyptic number.

10200120022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200120022000 is an abundant number, since it is smaller than the sum of its proper divisors (14463770196032).

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

10200120022000 is an equidigital number, since it uses as much as digits as its factorization.

10200120022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100060034 (or 5100060018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10200120022000 its reverse (22002100201), we get a palindrome (10222122122201).

The spelling of 10200120022000 in words is "ten trillion, two hundred billion, one hundred twenty million, twenty-two thousand".