100011012112101 has 16 divisors (see below), whose sum is σ = 133640642649600. Its totient is φ = 66527724489408.

The previous prime is 100011012112093. The next prime is 100011012112129. The reversal of 100011012112101 is 101211210110001.

It is not a de Polignac number, because 100011012112101 - 2³ = 100011012112093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011012113101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9800335 + ... + 17206643.

It is an arithmetic number, because the mean of its divisors is an integer number (8352540165600).

Almost surely, 2^{100011012112101} is an apocalyptic number.

It is an amenable number.

100011012112101 is a deficient number, since it is larger than the sum of its proper divisors (33629630537499).

100011012112101 is an equidigital number, since it uses as much as digits as its factorization.

100011012112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7416188.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100011012112101 its reverse (101211210110001), we get a palindrome (201222222222102).

It can be divided in two parts, 10001 and 1012112101, that multiplied together give a palindrome (10122133122101).

The spelling of 100011012112101 in words is "one hundred trillion, eleven billion, twelve million, one hundred twelve thousand, one hundred one".