102212202120100 has 72 divisors (see below), whose sum is σ = 224574247578240. Its totient is φ = 40374032388480.

The previous prime is 102212202120079. The next prime is 102212202120121. The reversal of 102212202120100 is 1021202212201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102212202120079) and next prime (102212202120121).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15585541 + ... + 21150259.

It is an arithmetic number, because the mean of its divisors is an integer number (3119086771920).

Almost surely, 2^{102212202120100} is an apocalyptic number.

102212202120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212202120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112287123789120).

102212202120100 is an abundant number, since it is smaller than the sum of its proper divisors (122362045458140).

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

102212202120100 is a wasteful number, since it uses less digits than its factorization.

102212202120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567029 (or 5567022 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212202120100 its reverse (1021202212201), we get a palindrome (103233404332301).

The spelling of 102212202120100 in words is "one hundred two trillion, two hundred twelve billion, two hundred two million, one hundred twenty thousand, one hundred".