100401400000 has 336 divisors, whose sum is σ = 277731224064. Its totient is φ = 35696000000.

The previous prime is 100401399907. The next prime is 100401400079. The reversal of 100401400000 is 4104001.

It is a super-2 number, since 2×100401400000² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100401400000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103399515 + ... + 103400485.

It is an arithmetic number, because the mean of its divisors is an integer number (826581024).

Almost surely, 2^100401400000 is an apocalyptic number.

100401400000 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 100401400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138865612032).

100401400000 is an abundant number, since it is smaller than the sum of its proper divisors (177329824064).

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

100401400000 is an frugal number, since it uses more digits than its factorization.

100401400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100401400000 its reverse (4104001), we get a palindrome (100405504001).

The spelling of 100401400000 in words is "one hundred billion, four hundred one million, four hundred thousand".