101102020111021 has 24 divisors (see below), whose sum is σ = 105868359282816. Its totient is φ = 96367745485440.

The previous prime is 101102020110983. The next prime is 101102020111039. The reversal of 101102020111021 is 120111020201101.

It is a happy number.

It is not a de Polignac number, because 101102020111021 - 2⁴¹ = 98902996855469 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102020110992 and 101102020111010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102020111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11949176731 + ... + 11949185191.

It is an arithmetic number, because the mean of its divisors is an integer number (4411181636784).

Almost surely, 2^{101102020111021} is an apocalyptic number.

It is an amenable number.

101102020111021 is a deficient number, since it is larger than the sum of its proper divisors (4766339171795).

101102020111021 is an frugal number, since it uses more digits than its factorization.

101102020111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14413 (or 14100 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101102020111021 its reverse (120111020201101), we get a palindrome (221213040312122).

The spelling of 101102020111021 in words is "one hundred one trillion, one hundred two billion, twenty million, one hundred eleven thousand, twenty-one".