100101011121 has 24 divisors (see below), whose sum is σ = 148523004864. Its totient is φ = 64919538720.

The previous prime is 100101011117. The next prime is 100101011123. The reversal of 100101011121 is 121110101001.

It is not a de Polignac number, because 100101011121 - 2² = 100101011117 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100101011123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2291716 + ... + 2334986.

It is an arithmetic number, because the mean of its divisors is an integer number (6188458536).

Almost surely, 2^100101011121 is an apocalyptic number.

It is an amenable number.

100101011121 is a deficient number, since it is larger than the sum of its proper divisors (48421993743).

100101011121 is a wasteful number, since it uses less digits than its factorization.

100101011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50261 (or 50258 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101011121 its reverse (121110101001), we get a palindrome (221211112122).

The spelling of 100101011121 in words is "one hundred billion, one hundred one million, eleven thousand, one hundred twenty-one".