100111201010101 has 32 divisors (see below), whose sum is σ = 109942709253120. Its totient is φ = 90802793664000.

The previous prime is 100111201010027. The next prime is 100111201010131. The reversal of 100111201010101 is 101010102111001.

It is a cyclic number.

It is not a de Polignac number, because 100111201010101 - 2³⁵ = 100076841271733 is a prime.

It is a Duffinian number.

100111201010101 is a modest number, since divided by 1010101 gives 1001112 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111201010131) 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, 75308545 + ... + 76626361.

It is an arithmetic number, because the mean of its divisors is an integer number (3435709664160).

Almost surely, 2^{100111201010101} is an apocalyptic number.

It is an amenable number.

100111201010101 is a deficient number, since it is larger than the sum of its proper divisors (9831508243019).

100111201010101 is a wasteful number, since it uses less digits than its factorization.

100111201010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319245.

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

Adding to 100111201010101 its reverse (101010102111001), we get a palindrome (201121303121102).

The spelling of 100111201010101 in words is "one hundred trillion, one hundred eleven billion, two hundred one million, ten thousand, one hundred one".