10010001120111 has 6 divisors (see below), whose sum is σ = 14458890506840. Its totient is φ = 6673334080068.

The previous prime is 10010001120101. The next prime is 10010001120113. The reversal of 10010001120111 is 11102110001001.

It is not a de Polignac number, because 10010001120111 - 2¹⁵ = 10010001087343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1112222346679 = 10010001120111 / (1 + 0 + 0 + 1 + 0 + 0 + 0 + 1 + 1 + 2 + 0 + 1 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010001120093 and 10010001120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001120113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556111173331 + ... + 556111173348.

Almost surely, 2^{10010001120111} is an apocalyptic number.

10010001120111 is a deficient number, since it is larger than the sum of its proper divisors (4448889386729).

10010001120111 is a wasteful number, since it uses less digits than its factorization.

10010001120111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112222346685 (or 1112222346682 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010001120111 its reverse (11102110001001), we get a palindrome (21112111121112).

The spelling of 10010001120111 in words is "ten trillion, ten billion, one million, one hundred twenty thousand, one hundred eleven".