401012100 has 144 divisors (see below), whose sum is σ = 1357204800. Its totient is φ = 101295360.

The previous prime is 401012077. The next prime is 401012113. The reversal of 401012100 is 1210104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 47392 + ... + 55208.

Almost surely, 2^401012100 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 401012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678602400).

401012100 is an abundant number, since it is smaller than the sum of its proper divisors (956192700).

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

401012100 is a wasteful number, since it uses less digits than its factorization.

401012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7859 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 401012100 is about 20025.2865148042. The cubic root of 401012100 is about 737.4272110485.

Adding to 401012100 its reverse (1210104), we get a palindrome (402222204).

It can be divided in two parts, 4010 and 12100, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 401012100 in words is "four hundred one million, twelve thousand, one hundred".