101220002001001 has 48 divisors (see below), whose sum is σ = 115275368429760. Its totient is φ = 88301729577600.

The previous prime is 101220002000989. The next prime is 101220002001017. The reversal of 101220002001001 is 100100200022101.

It is not a de Polignac number, because 101220002001001 - 2¹⁷ = 101220001869929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101220002001031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4006954711 + ... + 4006979971.

It is an arithmetic number, because the mean of its divisors is an integer number (2401570175620).

Almost surely, 2^{101220002001001} is an apocalyptic number.

It is an amenable number.

101220002001001 is a deficient number, since it is larger than the sum of its proper divisors (14055366428759).

101220002001001 is a wasteful number, since it uses less digits than its factorization.

101220002001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32838 (or 32807 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101220002001001 its reverse (100100200022101), we get a palindrome (201320202023102).

The spelling of 101220002001001 in words is "one hundred one trillion, two hundred twenty billion, two million, one thousand, one".