102101020210101 has 40 divisors (see below), whose sum is σ = 149805961585120. Its totient is φ = 61855138144800.

The previous prime is 102101020210093. The next prime is 102101020210109. The reversal of 102101020210101 is 101012020101201.

It is an interprime number because it is at equal distance from previous prime (102101020210093) and next prime (102101020210109).

It is not a de Polignac number, because 102101020210101 - 2³ = 102101020210093 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 (102101020210109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111856566 + ... + 112765656.

It is an arithmetic number, because the mean of its divisors is an integer number (3745149039628).

Almost surely, 2^{102101020210101} is an apocalyptic number.

102101020210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101020210101 is a deficient number, since it is larger than the sum of its proper divisors (47704941375019).

102101020210101 is an frugal number, since it uses more digits than its factorization.

102101020210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911695 (or 911662 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102101020210101 its reverse (101012020101201), we get a palindrome (203113040311302).

The spelling of 102101020210101 in words is "one hundred two trillion, one hundred one billion, twenty million, two hundred ten thousand, one hundred one".