20102102100100 has 36 divisors (see below), whose sum is σ = 43633602520704. Its totient is φ = 8038621307680.

The previous prime is 20102102100079. The next prime is 20102102100131. The reversal of 20102102100100 is 100120120102.

It is a super-3 number, since 3×20102102100100³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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, 27380044 + ... + 28104643.

It is an arithmetic number, because the mean of its divisors is an integer number (1212044514464).

Almost surely, 2^{20102102100100} is an apocalyptic number.

20102102100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102102100100 is an abundant number, since it is smaller than the sum of its proper divisors (23531500420604).

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

20102102100100 is a wasteful number, since it uses less digits than its factorization.

20102102100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55488324 (or 55488317 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20102102100100 its reverse (100120120102), we get a palindrome (20202222220202).

The spelling of 20102102100100 in words is "twenty trillion, one hundred two billion, one hundred two million, one hundred thousand, one hundred".