100012112101100 has 144 divisors (see below), whose sum is σ = 219231732104448. Its totient is φ = 39600380252160.

The previous prime is 100012112101051. The next prime is 100012112101151. The reversal of 100012112101100 is 1101211210001.

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, 10530911552 + ... + 10530921048.

Almost surely, 2^{100012112101100} is an apocalyptic number.

100012112101100 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 100012112101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109615866052224).

100012112101100 is an abundant number, since it is smaller than the sum of its proper divisors (119219620003348).

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

100012112101100 is a wasteful number, since it uses less digits than its factorization.

100012112101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12124 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100012112101100 its reverse (1101211210001), we get a palindrome (101113323311101).

The spelling of 100012112101100 in words is "one hundred trillion, twelve billion, one hundred twelve million, one hundred one thousand, one hundred".