100011122101 has 16 divisors (see below), whose sum is σ = 112176642816. Its totient is φ = 88374240000.

The previous prime is 100011122093. The next prime is 100011122129. The reversal of 100011122101 is 101221110001.

It is a cyclic number.

It is not a de Polignac number, because 100011122101 - 2³ = 100011122093 is a prime.

It is a super-2 number, since 2×100011122101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011122191) 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, 286920 + ... + 531361.

It is an arithmetic number, because the mean of its divisors is an integer number (7011040176).

Almost surely, 2^100011122101 is an apocalyptic number.

100011122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011122101 is a deficient number, since it is larger than the sum of its proper divisors (12165520715).

100011122101 is a wasteful number, since it uses less digits than its factorization.

100011122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818604.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011122101 its reverse (101221110001), we get a palindrome (201232232102).

The spelling of 100011122101 in words is "one hundred billion, eleven million, one hundred twenty-two thousand, one hundred one".