10200022012000 has 96 divisors (see below), whose sum is σ = 25062814917504. Its totient is φ = 4079787264000.

The previous prime is 10200022011983. The next prime is 10200022012007. The reversal of 10200022012000 is 21022000201.

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 (10200022012007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87425704 + ... + 87542296.

It is an arithmetic number, because the mean of its divisors is an integer number (261070988724).

Almost surely, 2^{10200022012000} is an apocalyptic number.

10200022012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200022012000 is an abundant number, since it is smaller than the sum of its proper divisors (14862792905504).

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

10200022012000 is a wasteful number, since it uses less digits than its factorization.

10200022012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138489 (or 138471 counting only the distinct ones).

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

Adding to 10200022012000 its reverse (21022000201), we get a palindrome (10221044012201).

The spelling of 10200022012000 in words is "ten trillion, two hundred billion, twenty-two million, twelve thousand".