401120100 has 216 divisors, whose sum is σ = 1381974048. Its totient is φ = 100569600.

The previous prime is 401120081. The next prime is 401120101. The reversal of 401120100 is 1021104.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (401120101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 412615 + ... + 413585.

It is an arithmetic number, because the mean of its divisors is an integer number (6398028).

Almost surely, 2^401120100 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 401120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690987024).

401120100 is an abundant number, since it is smaller than the sum of its proper divisors (980853948).

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

401120100 is a wasteful number, since it uses less digits than its factorization.

401120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 998 counting only the distinct ones).

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

The square root of 401120100 is about 20027.9829238993. The cubic root of 401120100 is about 737.4934060504.

Adding to 401120100 its reverse (1021104), we get a palindrome (402141204).

The spelling of 401120100 in words is "four hundred one million, one hundred twenty thousand, one hundred".