101012103113 has 4 divisors (see below), whose sum is σ = 101387613060. Its totient is φ = 100636593168.

The previous prime is 101012103107. The next prime is 101012103161. The reversal of 101012103113 is 311301210101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 24087971209 + 76924131904 = 155203^2 + 277352^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012103113 - 2¹⁰ = 101012102089 is a prime.

It is a super-3 number, since 3×101012103113³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101012103103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187754570 + ... + 187755107.

It is an arithmetic number, because the mean of its divisors is an integer number (25346903265).

Almost surely, 2^101012103113 is an apocalyptic number.

It is an amenable number.

101012103113 is a deficient number, since it is larger than the sum of its proper divisors (375509947).

101012103113 is an equidigital number, since it uses as much as digits as its factorization.

101012103113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375509946.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101012103113 its reverse (311301210101), we get a palindrome (412313313214).

The spelling of 101012103113 in words is "one hundred one billion, twelve million, one hundred three thousand, one hundred thirteen".