101213223000 has 256 divisors, whose sum is σ = 336259123200. Its totient is φ = 25258342400.

The previous prime is 101213222993. The next prime is 101213223029. The reversal of 101213223000 is 322312101.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9123457 + ... + 9134543.

It is an arithmetic number, because the mean of its divisors is an integer number (1313512200).

Almost surely, 2^101213223000 is an apocalyptic number.

101213223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101213223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168129561600).

101213223000 is an abundant number, since it is smaller than the sum of its proper divisors (235045900200).

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

101213223000 is a wasteful number, since it uses less digits than its factorization.

101213223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11307 (or 11293 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101213223000 its reverse (322312101), we get a palindrome (101535535101).

The spelling of 101213223000 in words is "one hundred one billion, two hundred thirteen million, two hundred twenty-three thousand".