35115012100 has 81 divisors (see below), whose sum is σ = 88673447583. Its totient is φ = 12034935360.

The previous prime is 35115012077. The next prime is 35115012103. The reversal of 35115012100 is 121051153.

The square root of 35115012100 is 187390.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17737445124 + 17377566976 = 133182^2 + 131824^2 .

It is not an unprimeable number, because it can be changed into a prime (35115012103) 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, 13115962 + ... + 13118638.

Almost surely, 2^35115012100 is an apocalyptic number.

35115012100 is the 187390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35115012100

35115012100 is an abundant number, since it is smaller than the sum of its proper divisors (53558435483).

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

35115012100 is an equidigital number, since it uses as much as digits as its factorization.

35115012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 35115012100 its reverse (121051153), we get a palindrome (35236063253).

The spelling of 35115012100 in words is "thirty-five billion, one hundred fifteen million, twelve thousand, one hundred".