101002002002111 has 8 divisors (see below), whose sum is σ = 116489858142240. Its totient is φ = 85778895539808.

The previous prime is 101002002002087. The next prime is 101002002002119. The reversal of 101002002002111 is 111200200200101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101002002002111 - 2³⁸ = 100727124095167 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101002002002092 and 101002002002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002002002119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66187418636 + ... + 66187420161.

It is an arithmetic number, because the mean of its divisors is an integer number (14561232267780).

Almost surely, 2^{101002002002111} is an apocalyptic number.

101002002002111 is a deficient number, since it is larger than the sum of its proper divisors (15487856140129).

101002002002111 is a wasteful number, since it uses less digits than its factorization.

101002002002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132374838913.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101002002002111 its reverse (111200200200101), we get a palindrome (212202202202212).

The spelling of 101002002002111 in words is "one hundred one trillion, two billion, two million, two thousand, one hundred eleven".