102000102110101 has 32 divisors (see below), whose sum is σ = 110306712952800. Its totient is φ = 93760153067520.

The previous prime is 102000102110077. The next prime is 102000102110107. The reversal of 102000102110101 is 101011201000201.

It can be written as a sum of positive squares in 16 ways, for example, as 42713936648100 + 59286165462001 = 6535590^2 + 7699751^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000102110101 - 2³⁵ = 101965742371733 is a prime.

It is a super-3 number, since 3×102000102110101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000102110107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17779342105 + ... + 17779347841.

It is an arithmetic number, because the mean of its divisors is an integer number (3447084779775).

Almost surely, 2^{102000102110101} is an apocalyptic number.

It is an amenable number.

102000102110101 is a deficient number, since it is larger than the sum of its proper divisors (8306610842699).

102000102110101 is a wasteful number, since it uses less digits than its factorization.

102000102110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11209.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102000102110101 its reverse (101011201000201), we get a palindrome (203011303110302).

The spelling of 102000102110101 in words is "one hundred two trillion, one hundred two million, one hundred ten thousand, one hundred one".