101020020102001 has 64 divisors (see below), whose sum is σ = 140049855332352. Its totient is φ = 70298111520000.

The previous prime is 101020020101977. The next prime is 101020020102059. The reversal of 101020020102001 is 100201020020101.

It is not a de Polignac number, because 101020020102001 - 2⁷ = 101020020101873 is a prime.

It is a super-2 number, since 2×101020020102001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101020020102061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110667466 + ... + 111576556.

It is an arithmetic number, because the mean of its divisors is an integer number (2188278989568).

Almost surely, 2^{101020020102001} is an apocalyptic number.

101020020102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101020020102001 is a deficient number, since it is larger than the sum of its proper divisors (39029835230351).

101020020102001 is a wasteful number, since it uses less digits than its factorization.

101020020102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912734.

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

Adding to 101020020102001 its reverse (100201020020101), we get a palindrome (201221040122102).

The spelling of 101020020102001 in words is "one hundred one trillion, twenty billion, twenty million, one hundred two thousand, one".