101322212310000 has 2000 divisors, whose sum is σ = 415191413593440. Its totient is φ = 23622036480000.

The previous prime is 101322212309999. The next prime is 101322212310037. The reversal of 101322212310000 is 13212223101.

101322212310000 is a `hidden beast` number, since 1 + 0 + 132 + 221 + 2 + 310 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2000).

It is a super-2 number, since 2×101322212310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 81909629382 + ... + 81909630618.

Almost surely, 2^{101322212310000} is an apocalyptic number.

101322212310000 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 101322212310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207595706796720).

101322212310000 is an abundant number, since it is smaller than the sum of its proper divisors (313869201283440).

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

101322212310000 is a wasteful number, since it uses less digits than its factorization.

101322212310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101322212310000 its reverse (13212223101), we get a palindrome (101335424533101).

The spelling of 101322212310000 in words is "one hundred one trillion, three hundred twenty-two billion, two hundred twelve million, three hundred ten thousand".