102122112102020 has 12 divisors (see below), whose sum is σ = 214456435414284. Its totient is φ = 40848844840800.

The previous prime is 102122112102007. The next prime is 102122112102037. The reversal of 102122112102020 is 20201211221201.

It can be written as a sum of positive squares in 2 ways, for example, as 79292292962884 + 22829819139136 = 8904622^2 + 4778056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102122112102020.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2553052802531 + ... + 2553052802570.

It is an arithmetic number, because the mean of its divisors is an integer number (17871369617857).

Almost surely, 2^{102122112102020} is an apocalyptic number.

102122112102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122112102020 is an abundant number, since it is smaller than the sum of its proper divisors (112334323312264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102122112102020 is a wasteful number, since it uses less digits than its factorization.

102122112102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106105605110 (or 5106105605108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102122112102020 its reverse (20201211221201), we get a palindrome (122323323323221).

The spelling of 102122112102020 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, twenty".