101212100220000 has 960 divisors, whose sum is σ = 414143940317184. Its totient is φ = 21019557120000.

The previous prime is 101212100219999. The next prime is 101212100220001. The reversal of 101212100220000 is 22001212101.

It is an interprime number because it is at equal distance from previous prime (101212100219999) and next prime (101212100220001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212100220001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10362655117 + ... + 10362664883.

Almost surely, 2^{101212100220000} is an apocalyptic number.

101212100220000 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 101212100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207071970158592).

101212100220000 is an abundant number, since it is smaller than the sum of its proper divisors (312931840097184).

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

101212100220000 is a wasteful number, since it uses less digits than its factorization.

101212100220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12061 (or 12038 counting only the distinct ones).

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

Adding to 101212100220000 its reverse (22001212101), we get a palindrome (101234101432101).

The spelling of 101212100220000 in words is "one hundred one trillion, two hundred twelve billion, one hundred million, two hundred twenty thousand".