100100210012101 has 8 divisors (see below), whose sum is σ = 108395807529464. Its totient is φ = 91889695546560.

The previous prime is 100100210012053. The next prime is 100100210012111. The reversal of 100100210012101 is 101210012001001.

It can be written as a sum of positive squares in 4 ways, for example, as 3186489601 + 100097023522500 = 56449^2 + 10004850^2 .

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 100100210012101 - 2²⁹ = 100099673141189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100210012111) 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, 21270760506 + ... + 21270765211.

It is an arithmetic number, because the mean of its divisors is an integer number (13549475941183).

Almost surely, 2^{100100210012101} is an apocalyptic number.

It is an amenable number.

100100210012101 is a deficient number, since it is larger than the sum of its proper divisors (8295597517363).

100100210012101 is a wasteful number, since it uses less digits than its factorization.

100100210012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42541525911.

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

Adding to 100100210012101 its reverse (101210012001001), we get a palindrome (201310222013102).

The spelling of 100100210012101 in words is "one hundred trillion, one hundred billion, two hundred ten million, twelve thousand, one hundred one".