102000120102101 has 16 divisors (see below), whose sum is σ = 110252821398384. Its totient is φ = 93805557249024.

The previous prime is 102000120102077. The next prime is 102000120102163. The reversal of 102000120102101 is 101201021000201.

It can be written as a sum of positive squares in 8 ways, for example, as 2325335259025 + 99674784843076 = 1524905^2 + 9983726^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000120102101 - 2⁶ = 102000120102037 is a prime.

It is a super-2 number, since 2×102000120102101² (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 (102000120102401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38669165 + ... + 41222621.

It is an arithmetic number, because the mean of its divisors is an integer number (6890801337399).

Almost surely, 2^{102000120102101} is an apocalyptic number.

It is an amenable number.

102000120102101 is a deficient number, since it is larger than the sum of its proper divisors (8252701296283).

102000120102101 is a wasteful number, since it uses less digits than its factorization.

102000120102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564840.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102000120102101 its reverse (101201021000201), we get a palindrome (203201141102302).

The spelling of 102000120102101 in words is "one hundred two trillion, one hundred twenty million, one hundred two thousand, one hundred one".