100110021121 has 16 divisors (see below), whose sum is σ = 111086798400. Its totient is φ = 89446579200.

The previous prime is 100110021091. The next prime is 100110021133. The reversal of 100110021121 is 121120011001.

It is not a de Polignac number, because 100110021121 - 2¹¹ = 100110019073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110021098 and 100110021107.

It is not an unprimeable number, because it can be changed into a prime (100110021181) 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, 3412765 + ... + 3441973.

It is an arithmetic number, because the mean of its divisors is an integer number (6942924900).

Almost surely, 2^100110021121 is an apocalyptic number.

100110021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110021121 is a deficient number, since it is larger than the sum of its proper divisors (10976777279).

100110021121 is a wasteful number, since it uses less digits than its factorization.

100110021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34560.

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

Adding to 100110021121 its reverse (121120011001), we get a palindrome (221230032122).

The spelling of 100110021121 in words is "one hundred billion, one hundred ten million, twenty-one thousand, one hundred twenty-one".