101010200120113 has 8 divisors (see below), whose sum is σ = 101448248319720. Its totient is φ = 100572615221760.

The previous prime is 101010200120099. The next prime is 101010200120117. The reversal of 101010200120113 is 311021002010101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 322160678464 + 100688039441649 = 567592^2 + 10034343^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010200120113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010200120093 and 101010200120102.

It is not an unprimeable number, because it can be changed into a prime (101010200120117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115388320 + ... + 116260417.

It is an arithmetic number, because the mean of its divisors is an integer number (12681031039965).

Almost surely, 2^{101010200120113} is an apocalyptic number.

It is an amenable number.

101010200120113 is a deficient number, since it is larger than the sum of its proper divisors (438048199607).

101010200120113 is a wasteful number, since it uses less digits than its factorization.

101010200120113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231650627.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101010200120113 its reverse (311021002010101), we get a palindrome (412031202130214).

The spelling of 101010200120113 in words is "one hundred one trillion, ten billion, two hundred million, one hundred twenty thousand, one hundred thirteen".