100010010011100 has 576 divisors, whose sum is σ = 335233930321920. Its totient is φ = 22548535833600.

The previous prime is 100010010011081. The next prime is 100010010011129. The reversal of 100010010011100 is 1110010010001.

100010010011100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50689309714 + ... + 50689311686.

Almost surely, 2^{100010010011100} is an apocalyptic number.

100010010011100 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 100010010011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167616965160960).

100010010011100 is an abundant number, since it is smaller than the sum of its proper divisors (235223920310820).

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

100010010011100 is a wasteful number, since it uses less digits than its factorization.

100010010011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100010010011100 its reverse (1110010010001), we get a palindrome (101120020021101).

The spelling of 100010010011100 in words is "one hundred trillion, ten billion, ten million, eleven thousand, one hundred".