102101012112201 has 16 divisors (see below), whose sum is σ = 146117161577664. Its totient is φ = 63185799596544.

The previous prime is 102101012112131. The next prime is 102101012112217. The reversal of 102101012112201 is 102211210101201.

It is a happy number.

It is not a de Polignac number, because 102101012112201 - 2⁹ = 102101012111689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102101012111201) 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, 13712192371 + ... + 13712199816.

It is an arithmetic number, because the mean of its divisors is an integer number (9132322598604).

Almost surely, 2^{102101012112201} is an apocalyptic number.

It is an amenable number.

102101012112201 is a deficient number, since it is larger than the sum of its proper divisors (44016149465463).

102101012112201 is a wasteful number, since it uses less digits than its factorization.

102101012112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27424392280.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102101012112201 its reverse (102211210101201), we get a palindrome (204312222213402).

The spelling of 102101012112201 in words is "one hundred two trillion, one hundred one billion, twelve million, one hundred twelve thousand, two hundred one".