100012112101 has 6 divisors (see below), whose sum is σ = 109930668806. Its totient is φ = 90920101800.

The previous prime is 100012112069. The next prime is 100012112197. The reversal of 100012112101 is 101211210001.

It can be written as a sum of positive squares in only one way, i.e., 98737979076 + 1274133025 = 314226^2 + 35695^2 .

It is not a de Polignac number, because 100012112101 - 2⁵ = 100012112069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012113101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413273070 + ... + 413273311.

Almost surely, 2^100012112101 is an apocalyptic number.

100012112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012112101 is a deficient number, since it is larger than the sum of its proper divisors (9918556705).

100012112101 is an equidigital number, since it uses as much as digits as its factorization.

100012112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826546403 (or 826546392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100012112101 its reverse (101211210001), we get a palindrome (201223322102).

The spelling of 100012112101 in words is "one hundred billion, twelve million, one hundred twelve thousand, one hundred one".