101322023220000 has 720 divisors, whose sum is σ = 403401056490432. Its totient is φ = 23899034880000.

The previous prime is 101322023219987. The next prime is 101322023220023. The reversal of 101322023220000 is 22320223101.

101322023220000 is a `hidden beast` number, since 1 + 0 + 13 + 220 + 232 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72568477 + ... + 73951523.

Almost surely, 2^{101322023220000} is an apocalyptic number.

101322023220000 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 101322023220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201700528245216).

101322023220000 is an abundant number, since it is smaller than the sum of its proper divisors (302079033270432).

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

101322023220000 is a wasteful number, since it uses less digits than its factorization.

101322023220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383131 (or 1383105 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101322023220000 its reverse (22320223101), we get a palindrome (101344343443101).

The spelling of 101322023220000 in words is "one hundred one trillion, three hundred twenty-two billion, twenty-three million, two hundred twenty thousand".