10001113322101 has 32 divisors (see below), whose sum is σ = 11568106585728. Its totient is φ = 8545245450240.

The previous prime is 10001113322093. The next prime is 10001113322119. The reversal of 10001113322101 is 10122331110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10001113322101 - 2³ = 10001113322093 is a prime.

It is a super-2 number, since 2×10001113322101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001113322801) 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 31 ways as a sum of consecutive naturals, for example, 414404431 + ... + 414428563.

It is an arithmetic number, because the mean of its divisors is an integer number (361503330804).

Almost surely, 2^{10001113322101} is an apocalyptic number.

10001113322101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001113322101 is a deficient number, since it is larger than the sum of its proper divisors (1566993263627).

10001113322101 is a wasteful number, since it uses less digits than its factorization.

10001113322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27141.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10001113322101 its reverse (10122331110001), we get a palindrome (20123444432102).

The spelling of 10001113322101 in words is "ten trillion, one billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred one".