100020012101 has 8 divisors (see below), whose sum is σ = 100708625400. Its totient is φ = 99331630272.

The previous prime is 100020012089. The next prime is 100020012109. The reversal of 100020012101 is 101210020001.

It can be written as a sum of positive squares in 4 ways, for example, as 9914981476 + 90105030625 = 99574^2 + 300175^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100020012101 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 (100020012109) 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, 859091 + ... + 968543.

It is an arithmetic number, because the mean of its divisors is an integer number (12588578175).

Almost surely, 2^100020012101 is an apocalyptic number.

It is an amenable number.

100020012101 is a deficient number, since it is larger than the sum of its proper divisors (688613299).

100020012101 is a wasteful number, since it uses less digits than its factorization.

100020012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115735.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100020012101 its reverse (101210020001), we get a palindrome (201230032102).

The spelling of 100020012101 in words is "one hundred billion, twenty million, twelve thousand, one hundred one".