100101100112010 has 96 divisors (see below), whose sum is σ = 261352378647360. Its totient is φ = 26582081347584.

The previous prime is 100101100111933. The next prime is 100101100112017. The reversal of 100101100112010 is 10211001101001.

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 = 100101100111983 and 100101100112001.

It is not an unprimeable number, because it can be changed into a prime (100101100112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21931809 + ... + 26099931.

It is an arithmetic number, because the mean of its divisors is an integer number (2722420610910).

Almost surely, 2^{100101100112010} is an apocalyptic number.

100101100112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101100112010 is an abundant number, since it is smaller than the sum of its proper divisors (161251278535350).

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

100101100112010 is a wasteful number, since it uses less digits than its factorization.

100101100112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169252 (or 4169249 counting only the distinct ones).

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

Adding to 100101100112010 its reverse (10211001101001), we get a palindrome (110312101213011).

The spelling of 100101100112010 in words is "one hundred trillion, one hundred one billion, one hundred million, one hundred twelve thousand, ten".