10100210112 has 70 divisors (see below), whose sum is σ = 29940202248. Its totient is φ = 3366734976.

The previous prime is 10100210093. The next prime is 10100210129. The reversal of 10100210112 is 21101200101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10100210094 and 10100210103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 968988 + ... + 979355.

Almost surely, 2^10100210112 is an apocalyptic number.

10100210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100210112 is an abundant number, since it is smaller than the sum of its proper divisors (19839992136).

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

10100210112 is an equidigital number, since it uses as much as digits as its factorization.

10100210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948367 (or 1948348 counting only the distinct ones).

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

Adding to 10100210112 its reverse (21101200101), we get a palindrome (31201410213).

The spelling of 10100210112 in words is "ten billion, one hundred million, two hundred ten thousand, one hundred twelve".