101111202212000 has 384 divisors, whose sum is σ = 256577506488576. Its totient is φ = 39144384000000.

The previous prime is 101111202211997. The next prime is 101111202212011. The reversal of 101111202212000 is 212202111101.

101111202212000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 4016959415 + ... + 4016984585.

It is an arithmetic number, because the mean of its divisors is an integer number (668170589814).

Almost surely, 2^{101111202212000} is an apocalyptic number.

101111202212000 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 101111202212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128288753244288).

101111202212000 is an abundant number, since it is smaller than the sum of its proper divisors (155466304276576).

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

101111202212000 is a wasteful number, since it uses less digits than its factorization.

101111202212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25521 (or 25503 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101111202212000 its reverse (212202111101), we get a palindrome (101323404323101).

The spelling of 101111202212000 in words is "one hundred one trillion, one hundred eleven billion, two hundred two million, two hundred twelve thousand".