100011002121100 has 144 divisors (see below), whose sum is σ = 248355674094528. Its totient is φ = 34244100034560.

The previous prime is 100011002121091. The next prime is 100011002121143. The reversal of 100011002121100 is 1121200110001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 6582695104 + ... + 6582710296.

It is an arithmetic number, because the mean of its divisors is an integer number (1724692181212).

Almost surely, 2^{100011002121100} is an apocalyptic number.

100011002121100 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 100011002121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124177837047264).

100011002121100 is an abundant number, since it is smaller than the sum of its proper divisors (148344671973428).

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

100011002121100 is a wasteful number, since it uses less digits than its factorization.

100011002121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27044 (or 27037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011002121100 its reverse (1121200110001), we get a palindrome (101132202231101).

The spelling of 100011002121100 in words is "one hundred trillion, eleven billion, two million, one hundred twenty-one thousand, one hundred".