100111011010101 has 144 divisors (see below), whose sum is σ = 195841367904000. Its totient is φ = 48674483940096.

The previous prime is 100111011010093. The next prime is 100111011010103. The reversal of 100111011010101 is 101010110111001.

It is not a de Polignac number, because 100111011010101 - 2³ = 100111011010093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111011010103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8389501 + ... + 16450098.

Almost surely, 2^{100111011010101} is an apocalyptic number.

It is an amenable number.

100111011010101 is a deficient number, since it is larger than the sum of its proper divisors (95730356893899).

100111011010101 is a wasteful number, since it uses less digits than its factorization.

100111011010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24839688 (or 24839678 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111011010101 its reverse (101010110111001), we get a palindrome (201121121121102).

The spelling of 100111011010101 in words is "one hundred trillion, one hundred eleven billion, eleven million, ten thousand, one hundred one".