101200334400 has 567 divisors, whose sum is σ = 397008918579. Its totient is φ = 24431616000.

The previous prime is 101200334359. The next prime is 101200334437. The reversal of 101200334400 is 4433002101.

The square root of 101200334400 is 318120.

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 1506060864 + 99694273536 = 38808^2 + 315744^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 419918280 + ... + 419918520.

Almost surely, 2^101200334400 is an apocalyptic number.

101200334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101200334400 is the 318120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101200334400

101200334400 is an abundant number, since it is smaller than the sum of its proper divisors (295808584179).

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

101200334400 is a wasteful number, since it uses less digits than its factorization.

101200334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101200334400 its reverse (4433002101), we get a palindrome (105633336501).

It can be divided in two parts, 101200 and 334400, that added together give a square (435600 = 660²).

The spelling of 101200334400 in words is "one hundred one billion, two hundred million, three hundred thirty-four thousand, four hundred".