10051101101104 has 80 divisors (see below), whose sum is σ = 22821855307776. Its totient is φ = 4198308364800.

The previous prime is 10051101101059. The next prime is 10051101101141. The reversal of 10051101101104 is 40110110115001.

It is a super-2 number, since 2×10051101101104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 3446319 + ... + 5655025.

Almost surely, 2^{10051101101104} is an apocalyptic number.

10051101101104 is a gapful number since it is divisible by the number (14) 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 10051101101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11410927653888).

10051101101104 is an abundant number, since it is smaller than the sum of its proper divisors (12770754206672).

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

10051101101104 is a wasteful number, since it uses less digits than its factorization.

10051101101104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209754 (or 2209748 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 16.

Adding to 10051101101104 its reverse (40110110115001), we get a palindrome (50161211216105).

The spelling of 10051101101104 in words is "ten trillion, fifty-one billion, one hundred one million, one hundred one thousand, one hundred four".