101100122002021 has 8 divisors (see below), whose sum is σ = 102236337264600. Its totient is φ = 99963912491520.

The previous prime is 101100122001847. The next prime is 101100122002039. The reversal of 101100122002021 is 120200221001101.

It can be written as a sum of positive squares in 4 ways, for example, as 3191174940996 + 97908947061025 = 1786386^2 + 9894895^2 .

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 101100122002021 - 2¹⁷ = 101100121870949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100122001992 and 101100122002010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100122003021) 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, 40865901 + ... + 43269181.

It is an arithmetic number, because the mean of its divisors is an integer number (12779542158075).

Almost surely, 2^{101100122002021} is an apocalyptic number.

It is an amenable number.

101100122002021 is a deficient number, since it is larger than the sum of its proper divisors (1136215262579).

101100122002021 is an equidigital number, since it uses as much as digits as its factorization.

101100122002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876039.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101100122002021 its reverse (120200221001101), we get a palindrome (221300343003122).

The spelling of 101100122002021 in words is "one hundred one trillion, one hundred billion, one hundred twenty-two million, two thousand, twenty-one".