10100210100 has 108 divisors (see below), whose sum is σ = 29463885024. Its totient is φ = 2671298560.

The previous prime is 10100210093. The next prime is 10100210129. The reversal of 10100210100 is 101200101.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22494676 + ... + 22495124.

Almost surely, 2^10100210100 is an apocalyptic number.

10100210100 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 10100210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731942512).

10100210100 is an abundant number, since it is smaller than the sum of its proper divisors (19363674924).

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

10100210100 is a wasteful number, since it uses less digits than its factorization.

10100210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 626 counting only the distinct ones).

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

Adding to 10100210100 its reverse (101200101), we get a palindrome (10201410201).

Subtracting from 10100210100 its reverse (101200101), we obtain a palindrome (9999009999).

The spelling of 10100210100 in words is "ten billion, one hundred million, two hundred ten thousand, one hundred".