10020110200100 has 648 divisors, whose sum is σ = 30129101676576. Its totient is φ = 2882591712000.

The previous prime is 10020110200091. The next prime is 10020110200117. The reversal of 10020110200100 is 100201102001.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1102196555 + ... + 1102205645.

Almost surely, 2^{10020110200100} is an apocalyptic number.

10020110200100 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 10020110200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064550838288).

10020110200100 is an abundant number, since it is smaller than the sum of its proper divisors (20108991476476).

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

10020110200100 is a wasteful number, since it uses less digits than its factorization.

10020110200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9178 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10020110200100 its reverse (100201102001), we get a palindrome (10120311302101).

10020110200100 divided by its reverse (100201102001) gives a square (100 = 10²).

It can be divided in two parts, 100201 and 10200100, that added together give a palindrome (10300301).

The spelling of 10020110200100 in words is "ten trillion, twenty billion, one hundred ten million, two hundred thousand, one hundred".