100122220022100 has 144 divisors (see below), whose sum is σ = 291075319320576. Its totient is φ = 26571312432000.

The previous prime is 100122220021991. The next prime is 100122220022129. The reversal of 100122220022100 is 1220022221001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100122220022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1810795455 + ... + 1810850745.

Almost surely, 2^{100122220022100} is an apocalyptic number.

100122220022100 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 100122220022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145537659660288).

100122220022100 is an abundant number, since it is smaller than the sum of its proper divisors (190953099298476).

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

100122220022100 is a wasteful number, since it uses less digits than its factorization.

100122220022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84126 (or 84119 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100122220022100 its reverse (1220022221001), we get a palindrome (101342242243101).

The spelling of 100122220022100 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, twenty-two thousand, one hundred".