100121122011200 has 42 divisors (see below), whose sum is σ = 246360535852746. Its totient is φ = 40048448803840.

The previous prime is 100121122011191. The next prime is 100121122011203. The reversal of 100121122011200 is 2110221121001.

It can be written as a sum of positive squares in 3 ways, for example, as 29121219302464 + 70999902708736 = 5396408^2 + 8426144^2 .

It is not an unprimeable number, because it can be changed into a prime (100121122011203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31287849029 + ... + 31287852228.

It is an arithmetic number, because the mean of its divisors is an integer number (5865727044113).

Almost surely, 2^{100121122011200} is an apocalyptic number.

100121122011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121122011200 is an abundant number, since it is smaller than the sum of its proper divisors (146239413841546).

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

100121122011200 is an equidigital number, since it uses as much as digits as its factorization.

100121122011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62575701279 (or 62575701264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100121122011200 its reverse (2110221121001), we get a palindrome (102231343132201).

The spelling of 100121122011200 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, eleven thousand, two hundred".