102120010120021 has 8 divisors (see below), whose sum is σ = 103406714887320. Its totient is φ = 100840024438272.

The previous prime is 102120010119949. The next prime is 102120010120043. The reversal of 102120010120021 is 120021010021201.

It can be written as a sum of positive squares in 4 ways, for example, as 11665435320900 + 90454574799121 = 3415470^2 + 9510761^2 .

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 102120010120021 - 2²¹ = 102120008022869 is a prime.

It is a super-3 number, since 3×102120010120021³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102120010119983 and 102120010120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120010120091) 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, 1679740800 + ... + 1679801593.

It is an arithmetic number, because the mean of its divisors is an integer number (12925839360915).

Almost surely, 2^{102120010120021} is an apocalyptic number.

It is an amenable number.

102120010120021 is a deficient number, since it is larger than the sum of its proper divisors (1286704767299).

102120010120021 is a wasteful number, since it uses less digits than its factorization.

102120010120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359542775.

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

Adding to 102120010120021 its reverse (120021010021201), we get a palindrome (222141020141222).

The spelling of 102120010120021 in words is "one hundred two trillion, one hundred twenty billion, ten million, one hundred twenty thousand, twenty-one".