102212220220100 has 108 divisors (see below), whose sum is σ = 234661012960500. Its totient is φ = 38638344453120.

The previous prime is 102212220220093. The next prime is 102212220220163. The reversal of 102212220220100 is 1022022212201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6590146168384 + 95622074051716 = 2567128^2 + 9778654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11303576 + ... + 18226224.

Almost surely, 2^{102212220220100} is an apocalyptic number.

102212220220100 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 102212220220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117330506480250).

102212220220100 is an abundant number, since it is smaller than the sum of its proper divisors (132448792740400).

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

102212220220100 is a wasteful number, since it uses less digits than its factorization.

102212220220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6923110 (or 6923084 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102212220220100 its reverse (1022022212201), we get a palindrome (103234242432301).

The spelling of 102212220220100 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty million, two hundred twenty thousand, one hundred".