100110020002101 has 12 divisors (see below), whose sum is σ = 148511561204812. Its totient is φ = 64936229190336.

The previous prime is 100110020002093. The next prime is 100110020002129. The reversal of 100110020002101 is 101200020011001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87988133279601 + 12121886722500 = 9380199^2 + 3481650^2 .

It is not a de Polignac number, because 100110020002101 - 2³ = 100110020002093 is a prime.

It is a super-2 number, since 2×100110020002101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110020000101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150315345016 + ... + 150315345681.

Almost surely, 2^{100110020002101} is an apocalyptic number.

It is an amenable number.

100110020002101 is a deficient number, since it is larger than the sum of its proper divisors (48401541202711).

100110020002101 is a wasteful number, since it uses less digits than its factorization.

100110020002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300630690740 (or 300630690737 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100110020002101 its reverse (101200020011001), we get a palindrome (201310040013102).

The spelling of 100110020002101 in words is "one hundred trillion, one hundred ten billion, twenty million, two thousand, one hundred one".