10020120110100 has 216 divisors, whose sum is σ = 31980841893728. Its totient is φ = 2623415558400.

The previous prime is 10020120110089. The next prime is 10020120110107. The reversal of 10020120110100 is 101102102001.

It is a happy number.

It is a super-2 number, since 2×10020120110100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020120110107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29863467 + ... + 30197133.

Almost surely, 2^{10020120110100} is an apocalyptic number.

10020120110100 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 10020120110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990420946864).

10020120110100 is an abundant number, since it is smaller than the sum of its proper divisors (21960721783628).

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

10020120110100 is a wasteful number, since it uses less digits than its factorization.

10020120110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334295 (or 334285 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10020120110100 its reverse (101102102001), we get a palindrome (10121222212101).

The spelling of 10020120110100 in words is "ten trillion, twenty billion, one hundred twenty million, one hundred ten thousand, one hundred".