1200122102201 has 24 divisors (see below), whose sum is σ = 1331114736840. Its totient is φ = 1081122577920.

The previous prime is 1200122102149. The next prime is 1200122102213. The reversal of 1200122102201 is 1022012210021.

It can be written as a sum of positive squares in 4 ways, for example, as 2577085225 + 1197545016976 = 50765^2 + 1094324^2 .

It is not a de Polignac number, because 1200122102201 - 2³⁴ = 1182942233017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1200122102281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93366491 + ... + 93379343.

It is an arithmetic number, because the mean of its divisors is an integer number (55463114035).

Almost surely, 2^{1200122102201} is an apocalyptic number.

1200122102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1200122102201 is a deficient number, since it is larger than the sum of its proper divisors (130992634639).

1200122102201 is a wasteful number, since it uses less digits than its factorization.

1200122102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19817 (or 19806 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1200122102201 its reverse (1022012210021), we get a palindrome (2222134312222).

The spelling of 1200122102201 in words is "one trillion, two hundred billion, one hundred twenty-two million, one hundred two thousand, two hundred one".