102210020012101 has 12 divisors (see below), whose sum is σ = 107879999428800. Its totient is φ = 96823925708328.

The previous prime is 102210020012071. The next prime is 102210020012153. The reversal of 102210020012101 is 101210020012201.

It is not a de Polignac number, because 102210020012101 - 2¹¹ = 102210020010053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210020012701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4385731 + ... + 14955088.

It is an arithmetic number, because the mean of its divisors is an integer number (8989999952400).

Almost surely, 2^{102210020012101} is an apocalyptic number.

It is an amenable number.

102210020012101 is a deficient number, since it is larger than the sum of its proper divisors (5669979416699).

102210020012101 is a wasteful number, since it uses less digits than its factorization.

102210020012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19355496 (or 19355477 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102210020012101 its reverse (101210020012201), we get a palindrome (203420040024302).

The spelling of 102210020012101 in words is "one hundred two trillion, two hundred ten billion, twenty million, twelve thousand, one hundred one".