100110211010100 has 54 divisors (see below), whose sum is σ = 313789894735590. Its totient is φ = 26696056269120.

The previous prime is 100110211010063. The next prime is 100110211010129. The reversal of 100110211010100 is 1010112011001.

100110211010100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2124207141156 + 97986003868944 = 1457466^2 + 9898788^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55616782995 + ... + 55616784794.

It is an arithmetic number, because the mean of its divisors is an integer number (5810923976585).

Almost surely, 2^{100110211010100} is an apocalyptic number.

100110211010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110211010100 is an abundant number, since it is smaller than the sum of its proper divisors (213679683725490).

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

100110211010100 is a wasteful number, since it uses less digits than its factorization.

100110211010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111233567809 (or 111233567799 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110211010100 its reverse (1010112011001), we get a palindrome (101120323021101).

The spelling of 100110211010100 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, ten thousand, one hundred".