10001311221400 has 48 divisors (see below), whose sum is σ = 23269119096240. Its totient is φ = 3997759670400.

The previous prime is 10001311221289. The next prime is 10001311221427. The reversal of 10001311221400 is 412211310001.

It is a super-2 number, since 2×10001311221400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16989991 + ... + 17568790.

It is an arithmetic number, because the mean of its divisors is an integer number (484773314505).

Almost surely, 2^{10001311221400} is an apocalyptic number.

10001311221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001311221400 is an abundant number, since it is smaller than the sum of its proper divisors (13267807874840).

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

10001311221400 is a wasteful number, since it uses less digits than its factorization.

10001311221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34560244 (or 34560235 counting only the distinct ones).

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

Adding to 10001311221400 its reverse (412211310001), we get a palindrome (10413522531401).

The spelling of 10001311221400 in words is "ten trillion, one billion, three hundred eleven million, two hundred twenty-one thousand, four hundred".