110120121021001 has 32 divisors (see below), whose sum is σ = 135576214373376. Its totient is φ = 87099883200000.

The previous prime is 110120121020983. The next prime is 110120121021049. The reversal of 110120121021001 is 100120121021011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110120121021001 - 2⁷ = 110120121020873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (110120121021401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5145548901 + ... + 5145570301.

It is an arithmetic number, because the mean of its divisors is an integer number (4236756699168).

Almost surely, 2^{110120121021001} is an apocalyptic number.

It is an amenable number.

110120121021001 is a deficient number, since it is larger than the sum of its proper divisors (25456093352375).

110120121021001 is a wasteful number, since it uses less digits than its factorization.

110120121021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37033.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110120121021001 its reverse (100120121021011), we get a palindrome (210240242042012).

It can be divided in two parts, 110120 and 121021001, that added together give a palindrome (121131121).

The spelling of 110120121021001 in words is "one hundred ten trillion, one hundred twenty billion, one hundred twenty-one million, twenty-one thousand, one".