101231002001001 has 16 divisors (see below), whose sum is σ = 140855093518464. Its totient is φ = 64547620921344.

The previous prime is 101231002000991. The next prime is 101231002001027. The reversal of 101231002001001 is 100100200132101.

It is not a de Polignac number, because 101231002001001 - 2¹⁹ = 101231001476713 is a prime.

It is a super-2 number, since 2×101231002001001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101231002001201) 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, 61474726 + ... + 63099951.

It is an arithmetic number, because the mean of its divisors is an integer number (8803443344904).

Almost surely, 2^{101231002001001} is an apocalyptic number.

It is an amenable number.

101231002001001 is a deficient number, since it is larger than the sum of its proper divisors (39624091517463).

101231002001001 is a wasteful number, since it uses less digits than its factorization.

101231002001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124586480.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101231002001001 its reverse (100100200132101), we get a palindrome (201331202133102).

The spelling of 101231002001001 in words is "one hundred one trillion, two hundred thirty-one billion, two million, one thousand, one".