120100020001121 has 8 divisors (see below), whose sum is σ = 120256401223080. Its totient is φ = 119943641396992.

The previous prime is 120100020001109. The next prime is 120100020001139. The reversal of 120100020001121 is 121100020001021.

It can be written as a sum of positive squares in 4 ways, for example, as 2685783434896 + 117414236566225 = 1638836^2 + 10835785^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120100020001121 - 2¹⁰ = 120100020000097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120100020001141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101535335 + ... + 102711363.

It is an arithmetic number, because the mean of its divisors is an integer number (15032050152885).

Almost surely, 2^{120100020001121} is an apocalyptic number.

It is an amenable number.

120100020001121 is a deficient number, since it is larger than the sum of its proper divisors (156381221959).

120100020001121 is a wasteful number, since it uses less digits than its factorization.

120100020001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308915.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120100020001121 its reverse (121100020001021), we get a palindrome (241200040002142).

The spelling of 120100020001121 in words is "one hundred twenty trillion, one hundred billion, twenty million, one thousand, one hundred twenty-one".