102200000000121 has 12 divisors (see below), whose sum is σ = 147647255743572. Its totient is φ = 68121779400576.

The previous prime is 102200000000099. The next prime is 102200000000129. The reversal of 102200000000121 is 121000000002201.

It can be written as a sum of positive squares in 2 ways, for example, as 98027523783225 + 4172476216896 = 9900885^2 + 2042664^2 .

It is not a de Polignac number, because 102200000000121 - 2²³ = 102199991611513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102200000000129) 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, 962771716 + ... + 962877861.

It is an arithmetic number, because the mean of its divisors is an integer number (12303937978631).

Almost surely, 2^{102200000000121} is an apocalyptic number.

It is an amenable number.

102200000000121 is a deficient number, since it is larger than the sum of its proper divisors (45447255743451).

102200000000121 is a wasteful number, since it uses less digits than its factorization.

102200000000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925655480 (or 1925655477 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102200000000121 its reverse (121000000002201), we get a palindrome (223200000002322).

The spelling of 102200000000121 in words is "one hundred two trillion, two hundred billion, one hundred twenty-one", and thus it is an aban number.