101213220000 has 480 divisors, whose sum is σ = 340846894080. Its totient is φ = 26282880000.

The previous prime is 101213219993. The next prime is 101213220007. The reversal of 101213220000 is 22312101.

It is an interprime number because it is at equal distance from previous prime (101213219993) and next prime (101213220007).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (101213220007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 620939919 + ... + 620940081.

It is an arithmetic number, because the mean of its divisors is an integer number (710097696).

Almost surely, 2^101213220000 is an apocalyptic number.

101213220000 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 101213220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170423447040).

101213220000 is an abundant number, since it is smaller than the sum of its proper divisors (239633674080).

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

101213220000 is a wasteful number, since it uses less digits than its factorization.

101213220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101213220000 its reverse (22312101), we get a palindrome (101235532101).

The spelling of 101213220000 in words is "one hundred one billion, two hundred thirteen million, two hundred twenty thousand".