10011211411400 has 48 divisors (see below), whose sum is σ = 24078689529300. Its totient is φ = 3866398887680.

The previous prime is 10011211411379. The next prime is 10011211411417. The reversal of 10011211411400 is 411411211001.

It can be written as a sum of positive squares in 6 ways, for example, as 5534830274884 + 4476381136516 = 2352622^2 + 2115746^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863029667 + ... + 863041266.

Almost surely, 2^{10011211411400} is an apocalyptic number.

10011211411400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011211411400 is an abundant number, since it is smaller than the sum of its proper divisors (14067478117900).

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

10011211411400 is a wasteful number, since it uses less digits than its factorization.

10011211411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726070978 (or 1726070969 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10011211411400 its reverse (411411211001), we get a palindrome (10422622622401).

The spelling of 10011211411400 in words is "ten trillion, eleven billion, two hundred eleven million, four hundred eleven thousand, four hundred".