27102102100 has 54 divisors (see below), whose sum is σ = 62474632010. Its totient is φ = 10203133440.

The previous prime is 27102102091. The next prime is 27102102103. The reversal of 27102102100 is 120120172.

It can be written as a sum of positive squares in 9 ways, for example, as 7922068036 + 19180034064 = 89006^2 + 138492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27102102103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 439995 + ... + 497794.

Almost surely, 2^27102102100 is an apocalyptic number.

27102102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27102102100 is an abundant number, since it is smaller than the sum of its proper divisors (35372529910).

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

27102102100 is a wasteful number, since it uses less digits than its factorization.

27102102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937837 (or 937813 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 27102102100 its reverse (120120172), we get a palindrome (27222222272).

The spelling of 27102102100 in words is "twenty-seven billion, one hundred two million, one hundred two thousand, one hundred".