100122210201000 has 128 divisors (see below), whose sum is σ = 336410626406400. Its totient is φ = 24645467116800.

The previous prime is 100122210200989. The next prime is 100122210201019. The reversal of 100122210201000 is 102012221001.

100122210201000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1283579080 + ... + 1283657079.

It is an arithmetic number, because the mean of its divisors is an integer number (2628208018800).

Almost surely, 2^{100122210201000} is an apocalyptic number.

100122210201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122210201000 is an abundant number, since it is smaller than the sum of its proper divisors (236288416205400).

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

100122210201000 is a wasteful number, since it uses less digits than its factorization.

100122210201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567236196 (or 2567236182 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100122210201000 its reverse (102012221001), we get a palindrome (100224222422001).

The spelling of 100122210201000 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, two hundred one thousand".