10001121431200 has 36 divisors (see below), whose sum is σ = 24415237695870. Its totient is φ = 4000448572160.

The previous prime is 10001121431141. The next prime is 10001121431243. The reversal of 10001121431200 is 213412110001.

It can be written as a sum of positive squares in 3 ways, for example, as 6442601379984 + 3558520051216 = 2538228^2 + 1886404^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6250700095 + ... + 6250701694.

Almost surely, 2^{10001121431200} is an apocalyptic number.

10001121431200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001121431200 is an abundant number, since it is smaller than the sum of its proper divisors (14414116264670).

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

10001121431200 is a wasteful number, since it uses less digits than its factorization.

10001121431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12501401809 (or 12501401796 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10001121431200 its reverse (213412110001), we get a palindrome (10214533541201).

The spelling of 10001121431200 in words is "ten trillion, one billion, one hundred twenty-one million, four hundred thirty-one thousand, two hundred".