401121100 has 36 divisors (see below), whose sum is σ = 875334600. Its totient is φ = 159544960.

The previous prime is 401121089. The next prime is 401121101. The reversal of 401121100 is 1121104.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (401121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6696 + ... + 29104.

It is an arithmetic number, because the mean of its divisors is an integer number (24314850).

Almost surely, 2^401121100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437667300).

401121100 is an abundant number, since it is smaller than the sum of its proper divisors (474213500).

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

401121100 is a wasteful number, since it uses less digits than its factorization.

401121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22602 (or 22595 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 401121100 is about 20028.0078889539. The cubic root of 401121100 is about 737.4940189116.

Adding to 401121100 its reverse (1121104), we get a palindrome (402242204).

The spelling of 401121100 in words is "four hundred one million, one hundred twenty-one thousand, one hundred".