101121122322000 has 960 divisors, whose sum is σ = 395979716890368. Its totient is φ = 23834995200000.

The previous prime is 101121122321981. The next prime is 101121122322001. The reversal of 101121122322000 is 223221121101.

101121122322000 is a `hidden beast` number, since 1 + 0 + 11 + 211 + 223 + 220 + 0 + 0 = 666.

101121122322000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121122322001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12798518050 + ... + 12798525950.

Almost surely, 2^{101121122322000} is an apocalyptic number.

101121122322000 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 101121122322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197989858445184).

101121122322000 is an abundant number, since it is smaller than the sum of its proper divisors (294858594568368).

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

101121122322000 is a wasteful number, since it uses less digits than its factorization.

101121122322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9725 (or 9706 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101121122322000 its reverse (223221121101), we get a palindrome (101344343443101).

The spelling of 101121122322000 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-two million, three hundred twenty-two thousand".