101212203213000 has 960 divisors, whose sum is σ = 388057513409280. Its totient is φ = 24403401792000.

The previous prime is 101212203212999. The next prime is 101212203213031. The reversal of 101212203213000 is 312302212101.

101212203213000 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 2 + 20 + 321 + 300 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34578817537 + ... + 34578820463.

It is an arithmetic number, because the mean of its divisors is an integer number (404226576468).

Almost surely, 2^{101212203213000} is an apocalyptic number.

101212203213000 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 101212203213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194028756704640).

101212203213000 is an abundant number, since it is smaller than the sum of its proper divisors (286845310196280).

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

101212203213000 is a wasteful number, since it uses less digits than its factorization.

101212203213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101212203213000 its reverse (312302212101), we get a palindrome (101524505425101).

The spelling of 101212203213000 in words is "one hundred one trillion, two hundred twelve billion, two hundred three million, two hundred thirteen thousand".