10100101002002 has 256 divisors, whose sum is σ = 18635406704640. Its totient is φ = 4056039187200.

The previous prime is 10100101001981. The next prime is 10100101002059. The reversal of 10100101002002 is 20020010100101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12833673053 + ... + 12833673839.

It is an arithmetic number, because the mean of its divisors is an integer number (72794557440).

Almost surely, 2^{10100101002002} is an apocalyptic number.

10100101002002 is a deficient number, since it is larger than the sum of its proper divisors (8535305702638).

10100101002002 is a wasteful number, since it uses less digits than its factorization.

10100101002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100101002002 its reverse (20020010100101), we get a palindrome (30120111102103).

The spelling of 10100101002002 in words is "ten trillion, one hundred billion, one hundred one million, two thousand, two".