10100300101 has 8 divisors (see below), whose sum is σ = 10191744000. Its totient is φ = 10009171920.

The previous prime is 10100300069. The next prime is 10100300149.

It is a happy number.

10100300101 is nontrivially palindromic in base 10.

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 10100300101 - 2⁵ = 10100300069 is a prime.

It is a super-2 number, since 2×10100300101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100300501) 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, 14421 + ... + 142858.

It is an arithmetic number, because the mean of its divisors is an integer number (1273968000).

Almost surely, 2^10100300101 is an apocalyptic number.

It is an amenable number.

10100300101 is a deficient number, since it is larger than the sum of its proper divisors (91443899).

10100300101 is a wasteful number, since it uses less digits than its factorization.

10100300101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157859.

The product of its (nonzero) digits is 3, while the sum is 7.

The spelling of 10100300101 in words is "ten billion, one hundred million, three hundred thousand, one hundred one".