101022120212000 has 384 divisors, whose sum is σ = 270251206819776. Its totient is φ = 36890112000000.

The previous prime is 101022120211967. The next prime is 101022120212021. The reversal of 101022120212000 is 212021220101.

101022120212000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 6613147132816 + 94408973079184 = 2571604^2 + 9716428^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4942121780 + ... + 4942142220.

Almost surely, 2^{101022120212000} is an apocalyptic number.

101022120212000 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 101022120212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135125603409888).

101022120212000 is an abundant number, since it is smaller than the sum of its proper divisors (169229086607776).

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

101022120212000 is a wasteful number, since it uses less digits than its factorization.

101022120212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21521 (or 21503 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101022120212000 its reverse (212021220101), we get a palindrome (101234141432101).

The spelling of 101022120212000 in words is "one hundred one trillion, twenty-two billion, one hundred twenty million, two hundred twelve thousand".