20102211100100 has 18 divisors (see below), whose sum is σ = 43621798087434. Its totient is φ = 8040884440000.

The previous prime is 20102211100091. The next prime is 20102211100109. The reversal of 20102211100100 is 100111220102.

It is an interprime number because it is at equal distance from previous prime (20102211100091) and next prime (20102211100109).

It can be written as a sum of positive squares in 3 ways, for example, as 115714268224 + 19986496831876 = 340168^2 + 4470626^2 .

It is a super-2 number, since 2×20102211100100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20102211100109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100511055401 + ... + 100511055600.

Almost surely, 2^{20102211100100} is an apocalyptic number.

20102211100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102211100100 is an abundant number, since it is smaller than the sum of its proper divisors (23519586987334).

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

20102211100100 is a wasteful number, since it uses less digits than its factorization.

20102211100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201022111015 (or 201022111008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20102211100100 its reverse (100111220102), we get a palindrome (20202322320202).

The spelling of 20102211100100 in words is "twenty trillion, one hundred two billion, two hundred eleven million, one hundred thousand, one hundred".