10100100102112 has 24 divisors (see below), whose sum is σ = 19884673481400. Its totient is φ = 5050024297344.

The previous prime is 10100100102077. The next prime is 10100100102121. The reversal of 10100100102112 is 21120100100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6622714 + ... + 8003782.

It is an arithmetic number, because the mean of its divisors is an integer number (828528061725).

Almost surely, 2^{10100100102112} is an apocalyptic number.

It is an amenable number.

10100100102112 is a deficient number, since it is larger than the sum of its proper divisors (9784573379288).

10100100102112 is a wasteful number, since it uses less digits than its factorization.

10100100102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609618 (or 1609610 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100100102112 its reverse (21120100100101), we get a palindrome (31220200202213).

The spelling of 10100100102112 in words is "ten trillion, one hundred billion, one hundred million, one hundred two thousand, one hundred twelve".