120200102011001 has 8 divisors (see below), whose sum is σ = 120966019971720. Its totient is φ = 119434188002688.

The previous prime is 120200102010973. The next prime is 120200102011069. The reversal of 120200102011001 is 100110201002021.

It can be written as a sum of positive squares in 4 ways, for example, as 14236857126976 + 105963244884025 = 3773176^2 + 10293845^2 .

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 120200102011001 - 2¹⁴ = 120200101994617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120200102011081) 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, 82349795 + ... + 83796711.

It is an arithmetic number, because the mean of its divisors is an integer number (15120752496465).

Almost surely, 2^{120200102011001} is an apocalyptic number.

It is an amenable number.

120200102011001 is a deficient number, since it is larger than the sum of its proper divisors (765917960719).

120200102011001 is a wasteful number, since it uses less digits than its factorization.

120200102011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976203.

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

Adding to 120200102011001 its reverse (100110201002021), we get a palindrome (220310303013022).

It can be divided in two parts, 120200 and 102011001, that added together give a palindrome (102131201).

The spelling of 120200102011001 in words is "one hundred twenty trillion, two hundred billion, one hundred two million, eleven thousand, one".