10400110221000 has 128 divisors (see below), whose sum is σ = 32520616128000. Its totient is φ = 2767185612800.

The previous prime is 10400110220921. The next prime is 10400110221013. The reversal of 10400110221000 is 12201100401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2513472 + ... + 5207471.

It is an arithmetic number, because the mean of its divisors is an integer number (254067313500).

Almost surely, 2^{10400110221000} is an apocalyptic number.

10400110221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400110221000 is an abundant number, since it is smaller than the sum of its proper divisors (22120505907000).

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

10400110221000 is a wasteful number, since it uses less digits than its factorization.

10400110221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7721416 (or 7721402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10400110221000 its reverse (12201100401), we get a palindrome (10412311321401).

The spelling of 10400110221000 in words is "ten trillion, four hundred billion, one hundred ten million, two hundred twenty-one thousand".