2018701056100 has 81 divisors (see below), whose sum is σ = 4477249271257. Its totient is φ = 790038558880.

The previous prime is 2018701056079. The next prime is 2018701056109. The reversal of 2018701056100 is 16501078102.

The square root of 2018701056100 is 1420810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 726732380196 + 1291968675904 = 852486^2 + 1136648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2018701056109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 667779189 + ... + 667782211.

Almost surely, 2^{2018701056100} is an apocalyptic number.

2018701056100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2018701056100 is the 1420810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2018701056100

2018701056100 is an abundant number, since it is smaller than the sum of its proper divisors (2458548215157).

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

2018701056100 is an frugal number, since it uses more digits than its factorization.

2018701056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The spelling of 2018701056100 in words is "two trillion, eighteen billion, seven hundred one million, fifty-six thousand, one hundred".