100034401401 has 48 divisors (see below), whose sum is σ = 169253255808. Its totient is φ = 56256883200.

The previous prime is 100034401399. The next prime is 100034401457. The reversal of 100034401401 is 104104430001.

It is not a de Polignac number, because 100034401401 - 2¹ = 100034401399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100034402401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299086 + ... + 538071.

It is an arithmetic number, because the mean of its divisors is an integer number (3526109496).

Almost surely, 2^100034401401 is an apocalyptic number.

100034401401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100034401401 is a deficient number, since it is larger than the sum of its proper divisors (69218854407).

100034401401 is a wasteful number, since it uses less digits than its factorization.

100034401401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837262 (or 837259 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100034401401 its reverse (104104430001), we get a palindrome (204138831402).

The spelling of 100034401401 in words is "one hundred billion, thirty-four million, four hundred one thousand, four hundred one".