102120222100021 has 32 divisors (see below), whose sum is σ = 106827355958400. Its totient is φ = 97543971168000.

The previous prime is 102120222100019. The next prime is 102120222100067. The reversal of 102120222100021 is 120001222021201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102120222100021 - 2¹ = 102120222100019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102120222099968 and 102120222100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120226100021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1567647111 + ... + 1567712251.

It is an arithmetic number, because the mean of its divisors is an integer number (3338354873700).

Almost surely, 2^{102120222100021} is an apocalyptic number.

It is an amenable number.

102120222100021 is a deficient number, since it is larger than the sum of its proper divisors (4707133858379).

102120222100021 is a wasteful number, since it uses less digits than its factorization.

102120222100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69717.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102120222100021 its reverse (120001222021201), we get a palindrome (222121444121222).

The spelling of 102120222100021 in words is "one hundred two trillion, one hundred twenty billion, two hundred twenty-two million, one hundred thousand, twenty-one".