100210110107 has 32 divisors (see below), whose sum is σ = 110972768256. Its totient is φ = 90171417600.

The previous prime is 100210110079. The next prime is 100210110127. The reversal of 100210110107 is 701011012001.

It is a cyclic number.

It is not a de Polignac number, because 100210110107 - 2¹² = 100210106011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210110091 and 100210110100.

It is not an unprimeable number, because it can be changed into a prime (100210110127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8266883 + ... + 8278995.

It is an arithmetic number, because the mean of its divisors is an integer number (3467899008).

Almost surely, 2^100210110107 is an apocalyptic number.

100210110107 is a deficient number, since it is larger than the sum of its proper divisors (10762658149).

100210110107 is a wasteful number, since it uses less digits than its factorization.

100210110107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12491.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 100210110107 its reverse (701011012001), we get a palindrome (801221122108).

The spelling of 100210110107 in words is "one hundred billion, two hundred ten million, one hundred ten thousand, one hundred seven".