100100101100012 has 96 divisors (see below), whose sum is σ = 191557409809920. Its totient is φ = 45490266247680.

The previous prime is 100100101100003. The next prime is 100100101100017. The reversal of 100100101100012 is 210001101001001.

It is a happy number.

It is a super-2 number, since 2×100100101100012² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100100101100017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8259759689 + ... + 8259771807.

It is an arithmetic number, because the mean of its divisors is an integer number (1995389685520).

Almost surely, 2^{100100101100012} is an apocalyptic number.

It is an amenable number.

100100101100012 is a deficient number, since it is larger than the sum of its proper divisors (91457308709908).

100100101100012 is a wasteful number, since it uses less digits than its factorization.

100100101100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15703 (or 15701 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100100101100012 its reverse (210001101001001), we get a palindrome (310101202101013).

The spelling of 100100101100012 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred thousand, twelve".