103100301220100 has 72 divisors (see below), whose sum is σ = 226120026928488. Its totient is φ = 40799453184000.

The previous prime is 103100301220051. The next prime is 103100301220123. The reversal of 103100301220100 is 1022103001301.

It can be written as a sum of positive squares in 12 ways, for example, as 32214274280644 + 70886026939456 = 5675762^2 + 8419384^2 .

It is a super-2 number, since 2×103100301220100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23521700 + ... + 27558500.

Almost surely, 2^{103100301220100} is an apocalyptic number.

103100301220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103100301220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113060013464244).

103100301220100 is an abundant number, since it is smaller than the sum of its proper divisors (123019725708388).

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

103100301220100 is a wasteful number, since it uses less digits than its factorization.

103100301220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039545 (or 4039538 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103100301220100 its reverse (1022103001301), we get a palindrome (104122404221401).

The spelling of 103100301220100 in words is "one hundred three trillion, one hundred billion, three hundred one million, two hundred twenty thousand, one hundred".