10010122120111 has 8 divisors (see below), whose sum is σ = 10248390307584. Its totient is φ = 9772102780440.

The previous prime is 10010122120087. The next prime is 10010122120127. The reversal of 10010122120111 is 11102122101001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10010122120111 - 2¹³ = 10010122111919 is a prime.

It is a super-5 number, since 5×10010122120111⁵ (a number of 66 digits) contains 55555 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010122120091 and 10010122120100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010122120181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62130541 + ... + 62291446.

It is an arithmetic number, because the mean of its divisors is an integer number (1281048788448).

Almost surely, 2^{10010122120111} is an apocalyptic number.

10010122120111 is a deficient number, since it is larger than the sum of its proper divisors (238268187473).

10010122120111 is a wasteful number, since it uses less digits than its factorization.

10010122120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124423901.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10010122120111 its reverse (11102122101001), we get a palindrome (21112244221112).

The spelling of 10010122120111 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred eleven".