102111011222121 has 32 divisors (see below), whose sum is σ = 165810019760640. Its totient is φ = 61592165283600.

The previous prime is 102111011222083. The next prime is 102111011222177. The reversal of 102111011222121 is 121222110111201.

It is a happy number.

102111011222121 is a `hidden beast` number, since 10 + 211 + 101 + 1 + 222 + 121 = 666.

It is not a de Polignac number, because 102111011222121 - 2¹⁸ = 102111010959977 is a prime.

It is a super-2 number, since 2×102111011222121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102111011222094 and 102111011222103.

It is not an unprimeable number, because it can be changed into a prime (102111011222021) 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, 814648515 + ... + 814773848.

It is an arithmetic number, because the mean of its divisors is an integer number (5181563117520).

Almost surely, 2^{102111011222121} is an apocalyptic number.

102111011222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102111011222121 is a deficient number, since it is larger than the sum of its proper divisors (63699008538519).

102111011222121 is a wasteful number, since it uses less digits than its factorization.

102111011222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629422594 (or 1629422588 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102111011222121 its reverse (121222110111201), we get a palindrome (223333121333322).

The spelling of 102111011222121 in words is "one hundred two trillion, one hundred eleven billion, eleven million, two hundred twenty-two thousand, one hundred twenty-one".