100110012021121 has 8 divisors (see below), whose sum is σ = 100285525859904. Its totient is φ = 99934515083760.

The previous prime is 100110012021043. The next prime is 100110012021251. The reversal of 100110012021121 is 121120210011001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100110012021121 - 2²⁷ = 100109877803393 is a prime.

It is a super-2 number, since 2×100110012021121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110012121121) by changing a digit.

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, 7660651 + ... + 16090543.

It is an arithmetic number, because the mean of its divisors is an integer number (12535690732488).

Almost surely, 2^{100110012021121} is an apocalyptic number.

It is an amenable number.

100110012021121 is a deficient number, since it is larger than the sum of its proper divisors (175513838783).

100110012021121 is an equidigital number, since it uses as much as digits as its factorization.

100110012021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450711.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100110012021121 its reverse (121120210011001), we get a palindrome (221230222032122).

The spelling of 100110012021121 in words is "one hundred trillion, one hundred ten billion, twelve million, twenty-one thousand, one hundred twenty-one".