10112222122101 has 48 divisors (see below), whose sum is σ = 16582965934080. Its totient is φ = 6106963111920.

The previous prime is 10112222122097. The next prime is 10112222122109. The reversal of 10112222122101 is 10122122221101.

10112222122101 is a `hidden beast` number, since 10 + 11 + 222 + 212 + 210 + 1 = 666.

It is not a de Polignac number, because 10112222122101 - 2² = 10112222122097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112222122109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5927461 + ... + 7440378.

It is an arithmetic number, because the mean of its divisors is an integer number (345478456960).

Almost surely, 2^{10112222122101} is an apocalyptic number.

10112222122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112222122101 is a deficient number, since it is larger than the sum of its proper divisors (6470743811979).

10112222122101 is a wasteful number, since it uses less digits than its factorization.

10112222122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13368148 (or 13368136 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10112222122101 its reverse (10122122221101), we get a palindrome (20234344343202).

The spelling of 10112222122101 in words is "ten trillion, one hundred twelve billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred one".