122102163544100 has 72 divisors (see below), whose sum is σ = 271255036483200. Its totient is φ = 47681903767680.

The previous prime is 122102163544099. The next prime is 122102163544111. The reversal of 122102163544100 is 1445361201221.

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, 1988726 + ... + 15753074.

Almost surely, 2^{122102163544100} is an apocalyptic number.

122102163544100 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 122102163544100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135627518241600).

122102163544100 is an abundant number, since it is smaller than the sum of its proper divisors (149152872939100).

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

122102163544100 is a wasteful number, since it uses less digits than its factorization.

122102163544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13766469 (or 13766462 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 122102163544100 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred sixty-three million, five hundred forty-four thousand, one hundred".