100101012101 has 8 divisors (see below), whose sum is σ = 101392579200. Its totient is φ = 98810056800.

The previous prime is 100101012079. The next prime is 100101012133. The reversal of 100101012101 is 101210101001.

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 100101012101 - 2¹⁰ = 100101011077 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 (100101012001) 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, 181070 + ... + 482688.

It is an arithmetic number, because the mean of its divisors is an integer number (12674072400).

Almost surely, 2^100101012101 is an apocalyptic number.

It is an amenable number.

100101012101 is a deficient number, since it is larger than the sum of its proper divisors (1291567099).

100101012101 is an equidigital number, since it uses as much as digits as its factorization.

100101012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305899.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100101012101 its reverse (101210101001), we get a palindrome (201311113102).

The spelling of 100101012101 in words is "one hundred billion, one hundred one million, twelve thousand, one hundred one".