20110100100 has 36 divisors (see below), whose sum is σ = 58185223824. Its totient is φ = 5362693280.

The previous prime is 20110100093. The next prime is 20110100107. The reversal of 20110100100 is 100101102.

It is an interprime number because it is at equal distance from previous prime (20110100093) and next prime (20110100107).

It is a super-2 number, since 2×20110100100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (20110100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33516534 + ... + 33517133.

Almost surely, 2^20110100100 is an apocalyptic number.

20110100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110100100 is an abundant number, since it is smaller than the sum of its proper divisors (38075123724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20110100100 is a wasteful number, since it uses less digits than its factorization.

20110100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67033684 (or 67033677 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 20110100100 its reverse (100101102), we get a palindrome (20210201202).

The spelling of 20110100100 in words is "twenty billion, one hundred ten million, one hundred thousand, one hundred".