10102001120119 has 16 divisors (see below), whose sum is σ = 11066550242400. Its totient is φ = 9178685558784.

The previous prime is 10102001120117. The next prime is 10102001120129. The reversal of 10102001120119 is 91102110020101.

It is a cyclic number.

It is not a de Polignac number, because 10102001120119 - 2¹ = 10102001120117 is a prime.

It is a super-2 number, since 2×10102001120119² (a number of 27 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 = 10102001120096 and 10102001120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102001120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2336167 + ... + 5065735.

It is an arithmetic number, because the mean of its divisors is an integer number (691659390150).

Almost surely, 2^{10102001120119} is an apocalyptic number.

10102001120119 is a deficient number, since it is larger than the sum of its proper divisors (964549122281).

10102001120119 is a wasteful number, since it uses less digits than its factorization.

10102001120119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737122.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 10102001120119 in words is "ten trillion, one hundred two billion, one million, one hundred twenty thousand, one hundred nineteen".