20345110100 has 36 divisors (see below), whose sum is σ = 50455874784. Its totient is φ = 6975466080.

The previous prime is 20345110067. The next prime is 20345110129. The reversal of 20345110100 is 101154302.

It is a super-2 number, since 2×20345110100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14531522 + ... + 14532921.

Almost surely, 2^20345110100 is an apocalyptic number.

20345110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20345110100 is an abundant number, since it is smaller than the sum of its proper divisors (30110764684).

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

20345110100 is a wasteful number, since it uses less digits than its factorization.

20345110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29064464 (or 29064457 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 20345110100 its reverse (101154302), we get a palindrome (20446264402).

The spelling of 20345110100 in words is "twenty billion, three hundred forty-five million, one hundred ten thousand, one hundred".