100401451040 has 192 divisors, whose sum is σ = 274049879040. Its totient is φ = 34400087040.

The previous prime is 100401451027. The next prime is 100401451061. The reversal of 100401451040 is 40154104001.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2693651 + ... + 2730669.

It is an arithmetic number, because the mean of its divisors is an integer number (1427343120).

Almost surely, 2^100401451040 is an apocalyptic number.

100401451040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100401451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137024939520).

100401451040 is an abundant number, since it is smaller than the sum of its proper divisors (173648428000).

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

100401451040 is a wasteful number, since it uses less digits than its factorization.

100401451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37135 (or 37127 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 100401451040 its reverse (40154104001), we get a palindrome (140555555041).

The spelling of 100401451040 in words is "one hundred billion, four hundred one million, four hundred fifty-one thousand, forty".