101212202010000 has 800 divisors, whose sum is σ = 334593125526528. Its totient is φ = 26350073600000.

The previous prime is 101212202009987. The next prime is 101212202010041. The reversal of 101212202010000 is 10202212101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 159 ways as a sum of consecutive naturals, for example, 85267229407 + ... + 85267230593.

Almost surely, 2^{101212202010000} is an apocalyptic number.

101212202010000 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 101212202010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167296562763264).

101212202010000 is an abundant number, since it is smaller than the sum of its proper divisors (233380923516528).

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

101212202010000 is a wasteful number, since it uses less digits than its factorization.

101212202010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101212202010000 its reverse (10202212101), we get a palindrome (101222404222101).

The spelling of 101212202010000 in words is "one hundred one trillion, two hundred twelve billion, two hundred two million, ten thousand".