101212312302112 has 192 divisors, whose sum is σ = 230654865821184. Its totient is φ = 43207010058240.

The previous prime is 101212312302097. The next prime is 101212312302131. The reversal of 101212312302112 is 211203213212101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5630091268 + ... + 5630109244.

It is an arithmetic number, because the mean of its divisors is an integer number (1201327426152).

Almost surely, 2^{101212312302112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212312302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115327432910592).

101212312302112 is an abundant number, since it is smaller than the sum of its proper divisors (129442553519072).

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

101212312302112 is a wasteful number, since it uses less digits than its factorization.

101212312302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19971 (or 19963 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101212312302112 its reverse (211203213212101), we get a palindrome (312415525514213).

The spelling of 101212312302112 in words is "one hundred one trillion, two hundred twelve billion, three hundred twelve million, three hundred two thousand, one hundred twelve".