101012002112119 has 16 divisors (see below), whose sum is σ = 116790290443008. Its totient is φ = 85574451894912.

The previous prime is 101012002112083. The next prime is 101012002112141. The reversal of 101012002112119 is 911211200210101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012002112119 is a prime.

It is a super-2 number, since 2×101012002112119² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101012002112119.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012002116119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155406037 + ... + 156054670.

It is an arithmetic number, because the mean of its divisors is an integer number (7299393152688).

Almost surely, 2^{101012002112119} is an apocalyptic number.

101012002112119 is a deficient number, since it is larger than the sum of its proper divisors (15778288330889).

101012002112119 is a wasteful number, since it uses less digits than its factorization.

101012002112119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311461254.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 101012002112119 in words is "one hundred one trillion, twelve billion, two million, one hundred twelve thousand, one hundred nineteen".