102101212012121 has 32 divisors (see below), whose sum is σ = 119739080198400. Its totient is φ = 87022832053248.

The previous prime is 102101212012109. The next prime is 102101212012139. The reversal of 102101212012121 is 121210212101201.

It is not a de Polignac number, because 102101212012121 - 2²⁶ = 102101144903257 is a prime.

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 102101212012121.

It is not an unprimeable number, because it can be changed into a prime (102101212012171) 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, 147742430 + ... + 148431896.

It is an arithmetic number, because the mean of its divisors is an integer number (3741846256200).

Almost surely, 2^{102101212012121} is an apocalyptic number.

It is an amenable number.

102101212012121 is a deficient number, since it is larger than the sum of its proper divisors (17637868186279).

102101212012121 is an equidigital number, since it uses as much as digits as its factorization.

102101212012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691918 (or 691904 counting only the distinct ones).

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

Adding to 102101212012121 its reverse (121210212101201), we get a palindrome (223311424113322).

The spelling of 102101212012121 in words is "one hundred two trillion, one hundred one billion, two hundred twelve million, twelve thousand, one hundred twenty-one".