101002122101001 has 32 divisors (see below), whose sum is σ = 154817482152960. Its totient is φ = 57972232472000.

The previous prime is 101002122100993. The next prime is 101002122101011. The reversal of 101002122101001 is 100101221200101.

It is not a de Polignac number, because 101002122101001 - 2³ = 101002122100993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101002122101011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658698711 + ... + 658852028.

It is an arithmetic number, because the mean of its divisors is an integer number (4838046317280).

Almost surely, 2^{101002122101001} is an apocalyptic number.

101002122101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002122101001 is a deficient number, since it is larger than the sum of its proper divisors (53815360051959).

101002122101001 is a wasteful number, since it uses less digits than its factorization.

101002122101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317550877.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101002122101001 its reverse (100101221200101), we get a palindrome (201103343301102).

The spelling of 101002122101001 in words is "one hundred one trillion, two billion, one hundred twenty-two million, one hundred one thousand, one".