100012021112101 has 6 divisors (see below), whose sum is σ = 116340514354950. Its totient is φ = 85724589524616.

The previous prime is 100012021112099. The next prime is 100012021112111. The reversal of 100012021112101 is 101211120210001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 98745439681476 + 1266581430625 = 9937074^2 + 1125425^2 .

It is not a de Polignac number, because 100012021112101 - 2¹ = 100012021112099 is a prime.

It is a super-2 number, since 2×100012021112101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012021112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1020530827626 + ... + 1020530827723.

It is an arithmetic number, because the mean of its divisors is an integer number (19390085725825).

Almost surely, 2^{100012021112101} is an apocalyptic number.

It is an amenable number.

100012021112101 is a deficient number, since it is larger than the sum of its proper divisors (16328493242849).

100012021112101 is an equidigital number, since it uses as much as digits as its factorization.

100012021112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041061655363 (or 2041061655356 counting only the distinct ones).

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

Adding to 100012021112101 its reverse (101211120210001), we get a palindrome (201223141322102).

The spelling of 100012021112101 in words is "one hundred trillion, twelve billion, twenty-one million, one hundred twelve thousand, one hundred one".