10200121012000 has 192 divisors, whose sum is σ = 25254514303200. Its totient is φ = 4048711680000.

The previous prime is 10200121011943. The next prime is 10200121012021. The reversal of 10200121012000 is 21012100201.

10200121012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 725815394704 + 9474305617296 = 851948^2 + 3078036^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653804200 + ... + 653819800.

Almost surely, 2^{10200121012000} is an apocalyptic number.

10200121012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200121012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627257151600).

10200121012000 is an abundant number, since it is smaller than the sum of its proper divisors (15054393291200).

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

10200121012000 is a wasteful number, since it uses less digits than its factorization.

10200121012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16872 (or 16854 counting only the distinct ones).

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

Adding to 10200121012000 its reverse (21012100201), we get a palindrome (10221133112201).

The spelling of 10200121012000 in words is "ten trillion, two hundred billion, one hundred twenty-one million, twelve thousand".