100101001012111 has 32 divisors (see below), whose sum is σ = 117995222664000. Its totient is φ = 83907710484480.

The previous prime is 100101001012097. The next prime is 100101001012121. The reversal of 100101001012111 is 111210100101001.

It is a cyclic number.

It is not a de Polignac number, because 100101001012111 - 2²⁵ = 100100967457679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101001012121) 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, 22572946 + ... + 26640943.

It is an arithmetic number, because the mean of its divisors is an integer number (3687350708250).

Almost surely, 2^{100101001012111} is an apocalyptic number.

100101001012111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101001012111 is a deficient number, since it is larger than the sum of its proper divisors (17894221651889).

100101001012111 is a wasteful number, since it uses less digits than its factorization.

100101001012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49214139.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100101001012111 its reverse (111210100101001), we get a palindrome (211311101113112).

The spelling of 100101001012111 in words is "one hundred trillion, one hundred one billion, one million, twelve thousand, one hundred eleven".