100110010200109 has 48 divisors (see below), whose sum is σ = 125155822401792. Its totient is φ = 78398966790144.

The previous prime is 100110010200071. The next prime is 100110010200113. The reversal of 100110010200109 is 901002010011001.

It is not a de Polignac number, because 100110010200109 - 2¹⁵ = 100110010167341 is a prime.

It is a super-2 number, since 2×100110010200109² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110010200092 and 100110010200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110010200119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240199869 + ... + 240616285.

It is an arithmetic number, because the mean of its divisors is an integer number (2607412966704).

Almost surely, 2^{100110010200109} is an apocalyptic number.

It is an amenable number.

100110010200109 is a deficient number, since it is larger than the sum of its proper divisors (25045812201683).

100110010200109 is a wasteful number, since it uses less digits than its factorization.

100110010200109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418526 (or 418513 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 100110010200109 in words is "one hundred trillion, one hundred ten billion, ten million, two hundred thousand, one hundred nine".