10100220002112 has 112 divisors (see below), whose sum is σ = 27449319093632. Its totient is φ = 3275321702400.

The previous prime is 10100220002087. The next prime is 10100220002123. The reversal of 10100220002112 is 21120002200101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57120237 + ... + 57296787.

Almost surely, 2^{10100220002112} is an apocalyptic number.

10100220002112 is a gapful number since it is divisible by the number (12) 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 10100220002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724659546816).

10100220002112 is an abundant number, since it is smaller than the sum of its proper divisors (17349099091520).

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

10100220002112 is a wasteful number, since it uses less digits than its factorization.

10100220002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184656 (or 184646 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100220002112 its reverse (21120002200101), we get a palindrome (31220222202213).

The spelling of 10100220002112 in words is "ten trillion, one hundred billion, two hundred twenty million, two thousand, one hundred twelve".