10020110100 has 576 divisors, whose sum is σ = 39636129792. Its totient is φ = 1886976000.

The previous prime is 10020110099. The next prime is 10020110141. The reversal of 10020110100 is 101102001.

It is a super-2 number, since 2×10020110100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18318027 + ... + 18318573.

Almost surely, 2^10020110100 is an apocalyptic number.

10020110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 100100×100101.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19818064896).

10020110100 is an abundant number, since it is smaller than the sum of its proper divisors (29616019692).

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

10020110100 is a wasteful number, since it uses less digits than its factorization.

10020110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10020110100 its reverse (101102001), we get a palindrome (10121212101).

The spelling of 10020110100 in words is "ten billion, twenty million, one hundred ten thousand, one hundred".