101111201200021 has 8 divisors (see below), whose sum is σ = 101721152167704. Its totient is φ = 100502137436160.

The previous prime is 101111201200001. The next prime is 101111201200043. The reversal of 101111201200021 is 120002102111101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13041047115121 + 88070154084900 = 3611239^2 + 9384570^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101111201200021 - 2⁵ = 101111201199989 is a prime.

It is a super-2 number, since 2×101111201200021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111201199974 and 101111201200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111201200001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221572336 + ... + 222028201.

It is an arithmetic number, because the mean of its divisors is an integer number (12715144020963).

Almost surely, 2^{101111201200021} is an apocalyptic number.

It is an amenable number.

101111201200021 is a deficient number, since it is larger than the sum of its proper divisors (609950967683).

101111201200021 is a wasteful number, since it uses less digits than its factorization.

101111201200021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443601911.

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

Adding to 101111201200021 its reverse (120002102111101), we get a palindrome (221113303311122).

The spelling of 101111201200021 in words is "one hundred one trillion, one hundred eleven billion, two hundred one million, two hundred thousand, twenty-one".