102101312231001 has 6 divisors (see below), whose sum is σ = 147479673222570. Its totient is φ = 68067541487328.

The previous prime is 102101312230943. The next prime is 102101312231057. The reversal of 102101312231001 is 100132213101201.

102101312231001 is a `hidden beast` number, since 1 + 0 + 210 + 131 + 223 + 100 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72375089096025 + 29726223134976 = 8507355^2 + 5452176^2 .

It is not a de Polignac number, because 102101312231001 - 2⁷ = 102101312230873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102101312231201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5672295123936 + ... + 5672295123953.

It is an arithmetic number, because the mean of its divisors is an integer number (24579945537095).

Almost surely, 2^{102101312231001} is an apocalyptic number.

It is an amenable number.

102101312231001 is a deficient number, since it is larger than the sum of its proper divisors (45378360991569).

102101312231001 is a wasteful number, since it uses less digits than its factorization.

102101312231001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344590247895 (or 11344590247892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102101312231001 its reverse (100132213101201), we get a palindrome (202233525332202).

The spelling of 102101312231001 in words is "one hundred two trillion, one hundred one billion, three hundred twelve million, two hundred thirty-one thousand, one".