100100010220100 has 576 divisors, whose sum is σ = 258123625530624. Its totient is φ = 33288192000000.

The previous prime is 100100010220069. The next prime is 100100010220109. The reversal of 100100010220100 is 1022010001001.

It is not an unprimeable number, because it can be changed into a prime (100100010220109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77536800455 + ... + 77536801745.

It is an arithmetic number, because the mean of its divisors is an integer number (448131294324).

Almost surely, 2^{100100010220100} is an apocalyptic number.

100100010220100 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 100100010220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129061812765312).

100100010220100 is an abundant number, since it is smaller than the sum of its proper divisors (158023615310524).

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

100100010220100 is a wasteful number, since it uses less digits than its factorization.

100100010220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100010220100 its reverse (1022010001001), we get a palindrome (101122020221101).

The spelling of 100100010220100 in words is "one hundred trillion, one hundred billion, ten million, two hundred twenty thousand, one hundred".