10120112122101 has 8 divisors (see below), whose sum is σ = 13493497839840. Its totient is φ = 6746733909552.

The previous prime is 10120112122097. The next prime is 10120112122177. The reversal of 10120112122101 is 10122121102101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10120112122101 - 2² = 10120112122097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120112122301) 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 7 ways as a sum of consecutive naturals, for example, 3348291 + ... + 5608143.

It is an arithmetic number, because the mean of its divisors is an integer number (1686687229980).

Almost surely, 2^{10120112122101} is an apocalyptic number.

It is an amenable number.

10120112122101 is a deficient number, since it is larger than the sum of its proper divisors (3373385717739).

10120112122101 is a wasteful number, since it uses less digits than its factorization.

10120112122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752595.

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

Adding to 10120112122101 its reverse (10122121102101), we get a palindrome (20242233224202).

The spelling of 10120112122101 in words is "ten trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand, one hundred one".