100100100111012 has 144 divisors (see below), whose sum is σ = 261761065692672. Its totient is φ = 32220215147520.

The previous prime is 100100100110993. The next prime is 100100100111013. The reversal of 100100100111012 is 210111001001001.

It is a super-2 number, since 2×100100100111012² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100100100110985 and 100100100111003.

It is not an unprimeable number, because it can be changed into a prime (100100100111013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956168823 + ... + 956273505.

Almost surely, 2^{100100100111012} is an apocalyptic number.

100100100111012 is a gapful number since it is divisible by the number (12) 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 100100100111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130880532846336).

100100100111012 is an abundant number, since it is smaller than the sum of its proper divisors (161660965581660).

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

100100100111012 is a wasteful number, since it uses less digits than its factorization.

100100100111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106578 (or 106573 counting only the distinct ones).

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

Adding to 100100100111012 its reverse (210111001001001), we get a palindrome (310211101112013).

The spelling of 100100100111012 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred eleven thousand, twelve".