102101010020021 has 8 divisors (see below), whose sum is σ = 107068607581080. Its totient is φ = 97229870664192.

The previous prime is 102101010019999. The next prime is 102101010020161. The reversal of 102101010020021 is 120020010101201.

It can be written as a sum of positive squares in 4 ways, for example, as 14924615571121 + 87176394448900 = 3863239^2 + 9336830^2 .

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 102101010020021 - 2²⁶ = 102100942911157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101010019984 and 102101010020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101010020921) 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, 24114549140 + ... + 24114553373.

It is an arithmetic number, because the mean of its divisors is an integer number (13383575947635).

Almost surely, 2^{102101010020021} is an apocalyptic number.

It is an amenable number.

102101010020021 is a deficient number, since it is larger than the sum of its proper divisors (4967597561059).

102101010020021 is an equidigital number, since it uses as much as digits as its factorization.

102101010020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48229102615.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102101010020021 its reverse (120020010101201), we get a palindrome (222121020121222).

The spelling of 102101010020021 in words is "one hundred two trillion, one hundred one billion, ten million, twenty thousand, twenty-one".