10210112100 has 144 divisors (see below), whose sum is σ = 32879562240. Its totient is φ = 2718057600.

The previous prime is 10210112089. The next prime is 10210112147. The reversal of 10210112100 is 121101201.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1760205 + ... + 1765995.

Almost surely, 2^10210112100 is an apocalyptic number.

10210112100 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 10210112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439781120).

10210112100 is an abundant number, since it is smaller than the sum of its proper divisors (22669450140).

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

10210112100 is a wasteful number, since it uses less digits than its factorization.

10210112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6454 counting only the distinct ones).

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

Adding to 10210112100 its reverse (121101201), we get a palindrome (10331213301).

The spelling of 10210112100 in words is "ten billion, two hundred ten million, one hundred twelve thousand, one hundred".