101112213000 has 64 divisors (see below), whose sum is σ = 315470113920. Its totient is φ = 26963256000.

The previous prime is 101112212983. The next prime is 101112213023. The reversal of 101112213000 is 312211101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16849036 + ... + 16855035.

It is an arithmetic number, because the mean of its divisors is an integer number (4929220530).

Almost surely, 2^101112213000 is an apocalyptic number.

101112213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112213000 is an abundant number, since it is smaller than the sum of its proper divisors (214357900920).

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

101112213000 is a wasteful number, since it uses less digits than its factorization.

101112213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33704095 (or 33704081 counting only the distinct ones).

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

Adding to 101112213000 its reverse (312211101), we get a palindrome (101424424101).

The spelling of 101112213000 in words is "one hundred one billion, one hundred twelve million, two hundred thirteen thousand".