10010200021120 has 256 divisors, whose sum is σ = 27300331497600. Its totient is φ = 3477011890176.

The previous prime is 10010200021111. The next prime is 10010200021121. The reversal of 10010200021120 is 2112000201001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10010200021097 and 10010200021106.

It is not an unprimeable number, because it can be changed into a prime (10010200021121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320628871 + ... + 320660089.

Almost surely, 2^{10010200021120} is an apocalyptic number.

10010200021120 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 10010200021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650165748800).

10010200021120 is an abundant number, since it is smaller than the sum of its proper divisors (17290131476480).

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

10010200021120 is a wasteful number, since it uses less digits than its factorization.

10010200021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33535 (or 33523 counting only the distinct ones).

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

Adding to 10010200021120 its reverse (2112000201001), we get a palindrome (12122200222121).

The spelling of 10010200021120 in words is "ten trillion, ten billion, two hundred million, twenty-one thousand, one hundred twenty".