103111311122100 has 108 divisors (see below), whose sum is σ = 327287773700160. Its totient is φ = 27148294555200.

The previous prime is 103111311122069. The next prime is 103111311122107. The reversal of 103111311122100 is 1221113111301.

103111311122100 is a `hidden beast` number, since 1 + 0 + 311 + 1 + 31 + 112 + 210 + 0 = 666.

It is a super-2 number, since 2×103111311122100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103111311122107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 725043606 + ... + 725185805.

Almost surely, 2^{103111311122100} is an apocalyptic number.

103111311122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103111311122100 is an abundant number, since it is smaller than the sum of its proper divisors (224176462578060).

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

103111311122100 is a wasteful number, since it uses less digits than its factorization.

103111311122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450229510 (or 1450229500 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 103111311122100 its reverse (1221113111301), we get a palindrome (104332424233401).

The spelling of 103111311122100 in words is "one hundred three trillion, one hundred eleven billion, three hundred eleven million, one hundred twenty-two thousand, one hundred".