102111111102101 has 4 divisors (see below), whose sum is σ = 102123507748812. Its totient is φ = 102098714455392.

The previous prime is 102111111102097. The next prime is 102111111102127. The reversal of 102111111102101 is 101201111111201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 36432632043025 + 65678479059076 = 6035945^2 + 8104226^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111111102101 - 2² = 102111111102097 is a prime.

It is a super-2 number, since 2×102111111102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111111102601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6198311000 + ... + 6198327473.

It is an arithmetic number, because the mean of its divisors is an integer number (25530876937203).

Almost surely, 2^{102111111102101} is an apocalyptic number.

It is an amenable number.

102111111102101 is a deficient number, since it is larger than the sum of its proper divisors (12396646711).

102111111102101 is an equidigital number, since it uses as much as digits as its factorization.

102111111102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12396646710.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 102111111102101 its reverse (101201111111201), we get a palindrome (203312222213302).

The spelling of 102111111102101 in words is "one hundred two trillion, one hundred eleven billion, one hundred eleven million, one hundred two thousand, one hundred one".