102212100000100 has 36 divisors (see below), whose sum is σ = 223996299170868. Its totient is φ = 40480039600000.

The previous prime is 102212100000079. The next prime is 102212100000121. The reversal of 102212100000100 is 1000001212201.

It is an interprime number because it is at equal distance from previous prime (102212100000079) and next prime (102212100000121).

It can be written as a sum of positive squares in 6 ways, for example, as 18872838226944 + 83339261773156 = 4344288^2 + 9129034^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5059994851 + ... + 5060015050.

It is an arithmetic number, because the mean of its divisors is an integer number (6222119421413).

Almost surely, 2^{102212100000100} is an apocalyptic number.

102212100000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212100000100 is an abundant number, since it is smaller than the sum of its proper divisors (121784199170768).

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

102212100000100 is a wasteful number, since it uses less digits than its factorization.

102212100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120010016 (or 10120010009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102212100000100 its reverse (1000001212201), we get a palindrome (103212101212301).

The spelling of 102212100000100 in words is "one hundred two trillion, two hundred twelve billion, one hundred million, one hundred", and thus it is an aban number.