102210111202121 has 12 divisors (see below), whose sum is σ = 110677508131932. Its totient is φ = 94347550192896.

The previous prime is 102210111202103. The next prime is 102210111202159. The reversal of 102210111202121 is 121202111012201.

It can be written as a sum of positive squares in 6 ways, for example, as 37838934584896 + 64371176617225 = 6151336^2 + 8023165^2 .

It is not a de Polignac number, because 102210111202121 - 2²² = 102210107007817 is a prime.

It is a super-3 number, since 3×102210111202121³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102210111202121.

It is not an unprimeable number, because it can be changed into a prime (102210111202321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114702125 + ... + 115589781.

It is an arithmetic number, because the mean of its divisors is an integer number (9223125677661).

Almost surely, 2^{102210111202121} is an apocalyptic number.

It is an amenable number.

102210111202121 is a deficient number, since it is larger than the sum of its proper divisors (8467396929811).

102210111202121 is an equidigital number, since it uses as much as digits as its factorization.

102210111202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569020 (or 1569007 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102210111202121 its reverse (121202111012201), we get a palindrome (223412222214322).

The spelling of 102210111202121 in words is "one hundred two trillion, two hundred ten billion, one hundred eleven million, two hundred two thousand, one hundred twenty-one".