101333012000022 has 192 divisors, whose sum is σ = 255076563456000. Its totient is φ = 28733034147840.

The previous prime is 101333012000021. The next prime is 101333012000023. The reversal of 101333012000022 is 220000210333101.

101333012000022 is a `hidden beast` number, since 10 + 133 + 301 + 200 + 0 + 0 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (101333012000021) and next prime (101333012000023).

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

It is a junction number, because it is equal to n+sod(n) for n = 101333011999959 and 101333012000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333012000021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 868716379 + ... + 868833017.

It is an arithmetic number, because the mean of its divisors is an integer number (1328523768000).

Almost surely, 2^{101333012000022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101333012000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127538281728000).

101333012000022 is an abundant number, since it is smaller than the sum of its proper divisors (153743551455978).

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

101333012000022 is a wasteful number, since it uses less digits than its factorization.

101333012000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118171 (or 118168 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101333012000022 its reverse (220000210333101), we get a palindrome (321333222333123).

The spelling of 101333012000022 in words is "one hundred one trillion, three hundred thirty-three billion, twelve million, twenty-two", and thus it is an aban number.