139211072100 has 81 divisors (see below), whose sum is σ = 436384459147. Its totient is φ = 37119967680.

The previous prime is 139211072093. The next prime is 139211072101. The reversal of 139211072100 is 1270112931.

The square root of 139211072100 is 373110.

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

139211072100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 62849487204 + 76361584896 = 250698^2 + 276336^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (139211072101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11187082 + ... + 11199518.

Almost surely, 2^139211072100 is an apocalyptic number.

139211072100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

139211072100 is the 373110-th square number.

It is an amenable number.

139211072100 is an abundant number, since it is smaller than the sum of its proper divisors (297173387047).

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

139211072100 is an equidigital number, since it uses as much as digits as its factorization.

139211072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24894 (or 12447 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 139211072100 in words is "one hundred thirty-nine billion, two hundred eleven million, seventy-two thousand, one hundred".