10020120001100 has 324 divisors, whose sum is σ = 25282097467200. Its totient is φ = 3443981587200.

The previous prime is 10020120001097. The next prime is 10020120001127. The reversal of 10020120001100 is 110002102001.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2092317506 + ... + 2092322294.

Almost surely, 2^{10020120001100} is an apocalyptic number.

10020120001100 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 10020120001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12641048733600).

10020120001100 is an abundant number, since it is smaller than the sum of its proper divisors (15261977466100).

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

10020120001100 is a wasteful number, since it uses less digits than its factorization.

10020120001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5305 counting only the distinct ones).

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

Adding to 10020120001100 its reverse (110002102001), we get a palindrome (10130122103101).

The spelling of 10020120001100 in words is "ten trillion, twenty billion, one hundred twenty million, one thousand, one hundred".