10012210001101 has 24 divisors (see below), whose sum is σ = 12771494247744. Its totient is φ = 7761298567680.

The previous prime is 10012210001009. The next prime is 10012210001113. The reversal of 10012210001101 is 10110001221001.

It is a de Polignac number, because none of the positive numbers 2^k-10012210001101 is a prime.

It is a super-2 number, since 2×10012210001101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012210001401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48019105 + ... + 48227158.

It is an arithmetic number, because the mean of its divisors is an integer number (532145593656).

Almost surely, 2^{10012210001101} is an apocalyptic number.

10012210001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012210001101 is a deficient number, since it is larger than the sum of its proper divisors (2759284246643).

10012210001101 is a wasteful number, since it uses less digits than its factorization.

10012210001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96246481 (or 96246474 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10012210001101 its reverse (10110001221001), we get a palindrome (20122211222102).

The spelling of 10012210001101 in words is "ten trillion, twelve billion, two hundred ten million, one thousand, one hundred one".