101020002111011 has 32 divisors (see below), whose sum is σ = 108053398656000. Its totient is φ = 94163877682560.

The previous prime is 101020002110977. The next prime is 101020002111043. The reversal of 101020002111011 is 110111200020101.

It is not a de Polignac number, because 101020002111011 - 2²² = 101019997916707 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101020002110983 and 101020002111001.

It is not an unprimeable number, because it can be changed into a prime (101020002131011) 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, 1838404565 + ... + 1838459513.

It is an arithmetic number, because the mean of its divisors is an integer number (3376668708000).

Almost surely, 2^{101020002111011} is an apocalyptic number.

101020002111011 is a deficient number, since it is larger than the sum of its proper divisors (7033396544989).

101020002111011 is a wasteful number, since it uses less digits than its factorization.

101020002111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57779.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101020002111011 its reverse (110111200020101), we get a palindrome (211131202131112).

The spelling of 101020002111011 in words is "one hundred one trillion, twenty billion, two million, one hundred eleven thousand, eleven".