101212022110212 has 576 divisors, whose sum is σ = 298289241169920. Its totient is φ = 28695814963200.

The previous prime is 101212022110201. The next prime is 101212022110217. The reversal of 101212022110212 is 212011220212101.

101212022110212 is a `hidden beast` number, since 10 + 1 + 212 + 0 + 221 + 10 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101212022110217) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7530089412 + ... + 7530102852.

It is an arithmetic number, because the mean of its divisors is an integer number (517863265920).

Almost surely, 2^{101212022110212} is an apocalyptic number.

101212022110212 is a gapful number since it is divisible by the number (12) 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 101212022110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149144620584960).

101212022110212 is an abundant number, since it is smaller than the sum of its proper divisors (197077219059708).

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

101212022110212 is a wasteful number, since it uses less digits than its factorization.

101212022110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13784 (or 13779 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101212022110212 its reverse (212011220212101), we get a palindrome (313223242322313).

The spelling of 101212022110212 in words is "one hundred one trillion, two hundred twelve billion, twenty-two million, one hundred ten thousand, two hundred twelve".