100100121100 has 72 divisors (see below), whose sum is σ = 248591033600. Its totient is φ = 34272659520.

The previous prime is 100100121097. The next prime is 100100121119. The reversal of 100100121100 is 1121001001.

It is a Harshad number since it is a multiple of its sum of digits (7).

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, 410551 + ... + 607249.

Almost surely, 2^100100121100 is an apocalyptic number.

100100121100 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 100100121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124295516800).

100100121100 is an abundant number, since it is smaller than the sum of its proper divisors (148490912500).

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

100100121100 is a wasteful number, since it uses less digits than its factorization.

100100121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197447 (or 197440 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100100121100 its reverse (1121001001), we get a palindrome (101221122101).

The spelling of 100100121100 in words is "one hundred billion, one hundred million, one hundred twenty-one thousand, one hundred".