102010100002101 has 12 divisors (see below), whose sum is σ = 147357553636800. Its totient is φ = 68002288067880.

The previous prime is 102010100002049. The next prime is 102010100002121. The reversal of 102010100002101 is 101200001010201.

It is a happy number.

It is not a de Polignac number, because 102010100002101 - 2⁷ = 102010100001973 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010100002121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370293565 + ... + 370568946.

It is an arithmetic number, because the mean of its divisors is an integer number (12279796136400).

Almost surely, 2^{102010100002101} is an apocalyptic number.

It is an amenable number.

102010100002101 is a deficient number, since it is larger than the sum of its proper divisors (45347453634699).

102010100002101 is a wasteful number, since it uses less digits than its factorization.

102010100002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740877816 (or 740877813 counting only the distinct ones).

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

Adding to 102010100002101 its reverse (101200001010201), we get a palindrome (203210101012302).

The spelling of 102010100002101 in words is "one hundred two trillion, ten billion, one hundred million, two thousand, one hundred one".