103131102100100 has 18 divisors (see below), whose sum is σ = 223794491557434. Its totient is φ = 41252440840000.

The previous prime is 103131102100073. The next prime is 103131102100121. The reversal of 103131102100100 is 1001201131301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3502509124 + 103127599590976 = 59182^2 + 10155176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 515655510401 + ... + 515655510600.

Almost surely, 2^{103131102100100} is an apocalyptic number.

103131102100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103131102100100 is an abundant number, since it is smaller than the sum of its proper divisors (120663389457334).

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

103131102100100 is a wasteful number, since it uses less digits than its factorization.

103131102100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031311021015 (or 1031311021008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 103131102100100 its reverse (1001201131301), we get a palindrome (104132303231401).

The spelling of 103131102100100 in words is "one hundred three trillion, one hundred thirty-one billion, one hundred two million, one hundred thousand, one hundred".