100000020112121 has 24 divisors (see below), whose sum is σ = 104623622386920. Its totient is φ = 95566923325440.

The previous prime is 100000020112087. The next prime is 100000020112127. The reversal of 100000020112121 is 121211020000001.

It can be written as a sum of positive squares in 4 ways, for example, as 39858211448896 + 60141808663225 = 6313336^2 + 7755115^2 .

It is not a de Polignac number, because 100000020112121 - 2¹⁰ = 100000020111097 is a prime.

It is a super-2 number, since 2×100000020112121² (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 (100000020112127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41426465 + ... + 43773873.

It is an arithmetic number, because the mean of its divisors is an integer number (4359317599455).

Almost surely, 2^{100000020112121} is an apocalyptic number.

It is an amenable number.

100000020112121 is a deficient number, since it is larger than the sum of its proper divisors (4623602274799).

100000020112121 is an equidigital number, since it uses as much as digits as its factorization.

100000020112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348025 (or 2347994 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100000020112121 its reverse (121211020000001), we get a palindrome (221211040112122).

The spelling of 100000020112121 in words is "one hundred trillion, twenty million, one hundred twelve thousand, one hundred twenty-one".