2011211112119 has 48 divisors (see below), whose sum is σ = 2347827975360. Its totient is φ = 1715599564800.

The previous prime is 2011211112103. The next prime is 2011211112139. The reversal of 2011211112119 is 9112111121102.

It is not a de Polignac number, because 2011211112119 - 2⁴ = 2011211112103 is a prime.

It is a super-2 number, since 2×2011211112119² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011211112094 and 2011211112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011211112139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1781408747 + ... + 1781409875.

It is an arithmetic number, because the mean of its divisors is an integer number (48913082820).

Almost surely, 2^{2011211112119} is an apocalyptic number.

2011211112119 is a deficient number, since it is larger than the sum of its proper divisors (336616863241).

2011211112119 is a wasteful number, since it uses less digits than its factorization.

2011211112119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 2011211112119 in words is "two trillion, eleven billion, two hundred eleven million, one hundred twelve thousand, one hundred nineteen".