121100110210001 has 16 divisors (see below), whose sum is σ = 131761904376144. Its totient is φ = 110630692491264.

The previous prime is 121100110209907. The next prime is 121100110210147. The reversal of 121100110210001 is 100012011001121.

It can be written as a sum of positive squares in 8 ways, for example, as 10890006600001 + 110210103610000 = 3300001^2 + 10498100^2 .

It is a cyclic number.

It is not a de Polignac number, because 121100110210001 - 2²⁶ = 121100043101137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121100116210001) 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, 91056125 + ... + 92376501.

It is an arithmetic number, because the mean of its divisors is an integer number (8235119023509).

Almost surely, 2^{121100110210001} is an apocalyptic number.

It is an amenable number.

121100110210001 is a deficient number, since it is larger than the sum of its proper divisors (10661794166143).

121100110210001 is a wasteful number, since it uses less digits than its factorization.

121100110210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393220.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121100110210001 its reverse (100012011001121), we get a palindrome (221112121211122).

The spelling of 121100110210001 in words is "one hundred twenty-one trillion, one hundred billion, one hundred ten million, two hundred ten thousand, one".