102221022012021 has 64 divisors (see below), whose sum is σ = 171912901248000. Its totient is φ = 59485770066240.

The previous prime is 102221022011897. The next prime is 102221022012041. The reversal of 102221022012021 is 120210220122201.

It is a happy number.

102221022012021 is a `hidden beast` number, since 10 + 22 + 210 + 220 + 1 + 202 + 1 = 666.

It is not a de Polignac number, because 102221022012021 - 2¹⁵ = 102221021979253 is a prime.

It is a super-2 number, since 2×102221022012021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102221022011985 and 102221022012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221022012041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67078306 + ... + 68585283.

It is an arithmetic number, because the mean of its divisors is an integer number (2686139082000).

Almost surely, 2^{102221022012021} is an apocalyptic number.

102221022012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221022012021 is a deficient number, since it is larger than the sum of its proper divisors (69691879235979).

102221022012021 is a wasteful number, since it uses less digits than its factorization.

102221022012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135663711 (or 135663705 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102221022012021 its reverse (120210220122201), we get a palindrome (222431242134222).

The spelling of 102221022012021 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-two million, twelve thousand, twenty-one".