100201123101 has 16 divisors (see below), whose sum is σ = 135351304704. Its totient is φ = 65927513904.

The previous prime is 100201123081. The next prime is 100201123109. The reversal of 100201123101 is 101321102001.

It is not a de Polignac number, because 100201123101 - 2⁵ = 100201123069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201123109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32710 + ... + 448856.

It is an arithmetic number, because the mean of its divisors is an integer number (8459456544).

Almost surely, 2^100201123101 is an apocalyptic number.

It is an amenable number.

100201123101 is a deficient number, since it is larger than the sum of its proper divisors (35150181603).

100201123101 is an equidigital number, since it uses as much as digits as its factorization.

100201123101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417200.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100201123101 its reverse (101321102001), we get a palindrome (201522225102).

The spelling of 100201123101 in words is "one hundred billion, two hundred one million, one hundred twenty-three thousand, one hundred one".