100012111212101 has 8 divisors (see below), whose sum is σ = 111765197452608. Its totient is φ = 88702537660000.

The previous prime is 100012111212077. The next prime is 100012111212119. The reversal of 100012111212101 is 101212111210001.

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

It is not a de Polignac number, because 100012111212101 - 2⁶ = 100012111212037 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 (100012111232101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110878171625 + ... + 110878172526.

It is an arithmetic number, because the mean of its divisors is an integer number (13970649681576).

Almost surely, 2^{100012111212101} is an apocalyptic number.

100012111212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012111212101 is a deficient number, since it is larger than the sum of its proper divisors (11753086240507).

100012111212101 is a wasteful number, since it uses less digits than its factorization.

100012111212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221756344203.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100012111212101 its reverse (101212111210001), we get a palindrome (201224222422102).

The spelling of 100012111212101 in words is "one hundred trillion, twelve billion, one hundred eleven million, two hundred twelve thousand, one hundred one".