100111201001120 has 48 divisors (see below), whose sum is σ = 236513411877960. Its totient is φ = 40044361964544.

The previous prime is 100111201001117. The next prime is 100111201001137. The reversal of 100111201001120 is 21100102111001.

It can be written as a sum of positive squares in 4 ways, for example, as 39565559293456 + 60545641707664 = 6290116^2 + 7781108^2 .

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 7 ways as a sum of consecutive naturals, for example, 70533974 + ... + 71939306.

Almost surely, 2^{100111201001120} is an apocalyptic number.

100111201001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111201001120 is an abundant number, since it is smaller than the sum of its proper divisors (136402210876840).

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

100111201001120 is a wasteful number, since it uses less digits than its factorization.

100111201001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850577 (or 1850569 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100111201001120 its reverse (21100102111001), we get a palindrome (121211303112121).

The spelling of 100111201001120 in words is "one hundred trillion, one hundred eleven billion, two hundred one million, one thousand, one hundred twenty".