101211314212000 has 192 divisors, whose sum is σ = 251284792606848. Its totient is φ = 40061598720000.

The previous prime is 101211314211983. The next prime is 101211314212067. The reversal of 101211314212000 is 212413112101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184698415 + ... + 185245585.

It is an arithmetic number, because the mean of its divisors is an integer number (1308774961494).

Almost surely, 2^{101211314212000} is an apocalyptic number.

101211314212000 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 101211314212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125642396303424).

101211314212000 is an abundant number, since it is smaller than the sum of its proper divisors (150073478394848).

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

101211314212000 is a wasteful number, since it uses less digits than its factorization.

101211314212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547680 (or 547662 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101211314212000 its reverse (212413112101), we get a palindrome (101423727324101).

The spelling of 101211314212000 in words is "one hundred one trillion, two hundred eleven billion, three hundred fourteen million, two hundred twelve thousand".