102101400013301 has 16 divisors (see below), whose sum is σ = 111782613371520. Its totient is φ = 92681907030720.

The previous prime is 102101400013279. The next prime is 102101400013381. The reversal of 102101400013301 is 103310004101201.

It is a cyclic number.

It is not a de Polignac number, because 102101400013301 - 2¹⁸ = 102101399751157 is a prime.

It is a super-2 number, since 2×102101400013301² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102101400013301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101400013381) 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, 10646441 + ... + 17819918.

It is an arithmetic number, because the mean of its divisors is an integer number (6986413335720).

Almost surely, 2^{102101400013301} is an apocalyptic number.

It is an amenable number.

102101400013301 is a deficient number, since it is larger than the sum of its proper divisors (9681213358219).

102101400013301 is a wasteful number, since it uses less digits than its factorization.

102101400013301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28470956.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102101400013301 its reverse (103310004101201), we get a palindrome (205411404114502).

The spelling of 102101400013301 in words is "one hundred two trillion, one hundred one billion, four hundred million, thirteen thousand, three hundred one".