100010111001100 has 72 divisors (see below), whose sum is σ = 226459851454368. Its totient is φ = 38264370777600.

The previous prime is 100010111001067. The next prime is 100010111001103. The reversal of 100010111001100 is 1100111010001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100010111001103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459249442 + ... + 459467158.

It is an arithmetic number, because the mean of its divisors is an integer number (3145275714644).

Almost surely, 2^{100010111001100} is an apocalyptic number.

100010111001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010111001100 is an abundant number, since it is smaller than the sum of its proper divisors (126449740453268).

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

100010111001100 is a wasteful number, since it uses less digits than its factorization.

100010111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417475 (or 417468 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100010111001100 its reverse (1100111010001), we get a palindrome (101110222011101).

The spelling of 100010111001100 in words is "one hundred trillion, ten billion, one hundred eleven million, one thousand, one hundred".