101103112113000 has 256 divisors, whose sum is σ = 351575902828800. Its totient is φ = 24039377510400.

The previous prime is 101103112112999. The next prime is 101103112113001. The reversal of 101103112113000 is 311211301101.

It is an interprime number because it is at equal distance from previous prime (101103112112999) and next prime (101103112113001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101103112113001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51199789 + ... + 53137788.

It is an arithmetic number, because the mean of its divisors is an integer number (1373343370425).

Almost surely, 2^{101103112113000} is an apocalyptic number.

101103112113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101103112113000 is an abundant number, since it is smaller than the sum of its proper divisors (250472790715800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101103112113000 is a wasteful number, since it uses less digits than its factorization.

101103112113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104337637 (or 104337623 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101103112113000 its reverse (311211301101), we get a palindrome (101414323414101).

The spelling of 101103112113000 in words is "one hundred one trillion, one hundred three billion, one hundred twelve million, one hundred thirteen thousand".