290012120001100 has 54 divisors (see below), whose sum is σ = 732073451500860. Its totient is φ = 99432726855840.

The previous prime is 290012120001083. The next prime is 290012120001161. The reversal of 290012120001100 is 1100021210092.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29593068570 + ... + 29593078369.

Almost surely, 2^{290012120001100} is an apocalyptic number.

290012120001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290012120001100 is an abundant number, since it is smaller than the sum of its proper divisors (442061331499760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

290012120001100 is a wasteful number, since it uses less digits than its factorization.

290012120001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59186146967 (or 59186146953 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 290012120001100 its reverse (1100021210092), we get a palindrome (291112141211192).

The spelling of 290012120001100 in words is "two hundred ninety trillion, twelve billion, one hundred twenty million, one thousand, one hundred".