102120002002021 has 8 divisors (see below), whose sum is σ = 104932600942464. Its totient is φ = 99334062767520.

The previous prime is 102120002001973. The next prime is 102120002002087. The reversal of 102120002002021 is 120200200021201.

It is a happy number.

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 102120002002021 - 2³⁵ = 102085642263653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102120002001992 and 102120002002010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120002002091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6664918720 + ... + 6664934041.

It is an arithmetic number, because the mean of its divisors is an integer number (13116575117808).

Almost surely, 2^{102120002002021} is an apocalyptic number.

It is an amenable number.

102120002002021 is a deficient number, since it is larger than the sum of its proper divisors (2812598940443).

102120002002021 is a wasteful number, since it uses less digits than its factorization.

102120002002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13329852971.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102120002002021 its reverse (120200200021201), we get a palindrome (222320202023222).

The spelling of 102120002002021 in words is "one hundred two trillion, one hundred twenty billion, two million, two thousand, twenty-one".