1002112101211 has 32 divisors (see below), whose sum is σ = 1203081546240. Its totient is φ = 825727820544.

The previous prime is 1002112101197. The next prime is 1002112101227. The reversal of 1002112101211 is 1121012112001.

It is a happy number.

1002112101211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002112101211 - 2³⁹ = 452356287323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002112101191 and 1002112101200.

It is not an unprimeable number, because it can be changed into a prime (1002112101911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935770 + ... + 1697023.

It is an arithmetic number, because the mean of its divisors is an integer number (37596298320).

Almost surely, 2^{1002112101211} is an apocalyptic number.

1002112101211 is a deficient number, since it is larger than the sum of its proper divisors (200969445029).

1002112101211 is a wasteful number, since it uses less digits than its factorization.

1002112101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632915.

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

Adding to 1002112101211 its reverse (1121012112001), we get a palindrome (2123124213212).

The spelling of 1002112101211 in words is "one trillion, two billion, one hundred twelve million, one hundred one thousand, two hundred eleven".