102122221201021 has 32 divisors (see below), whose sum is σ = 126208019496960. Its totient is φ = 80630009024256.

The previous prime is 102122221201009. The next prime is 102122221201061. The reversal of 102122221201021 is 120102122221201.

It is a cyclic number.

It is not a de Polignac number, because 102122221201021 - 2⁹ = 102122221200509 is a prime.

It is a super-3 number, since 3×102122221201021³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102122221201021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122221201061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398445850 + ... + 398702068.

It is an arithmetic number, because the mean of its divisors is an integer number (3944000609280).

Almost surely, 2^{102122221201021} is an apocalyptic number.

It is an amenable number.

102122221201021 is a deficient number, since it is larger than the sum of its proper divisors (24085798295939).

102122221201021 is a wasteful number, since it uses less digits than its factorization.

102122221201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327553.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102122221201021 its reverse (120102122221201), we get a palindrome (222224343422222).

The spelling of 102122221201021 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, twenty-one".