100112100100121 has 4 divisors (see below), whose sum is σ = 106001047164852. Its totient is φ = 94223153035392.

The previous prime is 100112100100109. The next prime is 100112100100169. The reversal of 100112100100121 is 121001001211001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 64874342000521 + 35237758099600 = 8054461^2 + 5936140^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112100100121 - 2¹⁰ = 100112100099097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112100100921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2944473532340 + ... + 2944473532373.

It is an arithmetic number, because the mean of its divisors is an integer number (26500261791213).

Almost surely, 2^{100112100100121} is an apocalyptic number.

It is an amenable number.

100112100100121 is a deficient number, since it is larger than the sum of its proper divisors (5888947064731).

100112100100121 is an equidigital number, since it uses as much as digits as its factorization.

100112100100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888947064730.

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

Adding to 100112100100121 its reverse (121001001211001), we get a palindrome (221113101311122).

It can be divided in two parts, 1001 and 12100100121, that multiplied together give a palindrome (12112200221121).

The spelling of 100112100100121 in words is "one hundred trillion, one hundred twelve billion, one hundred million, one hundred thousand, one hundred twenty-one".