10112212120101 has 128 divisors (see below), whose sum is σ = 17599924371456. Its totient is φ = 5020271447040.

The previous prime is 10112212120079. The next prime is 10112212120147. The reversal of 10112212120101 is 10102121221101.

It is a happy number.

It is not a de Polignac number, because 10112212120101 - 2¹⁷ = 10112211989029 is a prime.

It is a super-2 number, since 2×10112212120101² (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 (10112212124101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 997943431 + ... + 997953563.

It is an arithmetic number, because the mean of its divisors is an integer number (137499409152).

Almost surely, 2^{10112212120101} is an apocalyptic number.

It is an amenable number.

10112212120101 is a deficient number, since it is larger than the sum of its proper divisors (7487712251355).

10112212120101 is a wasteful number, since it uses less digits than its factorization.

10112212120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13411.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10112212120101 its reverse (10102121221101), we get a palindrome (20214333341202).

The spelling of 10112212120101 in words is "ten trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty thousand, one hundred one".