101212211022012 has 144 divisors (see below), whose sum is σ = 262975453584480. Its totient is φ = 32802519859200.

The previous prime is 101212211021993. The next prime is 101212211022061. The reversal of 101212211022012 is 210220112212101.

101212211022012 is a `hidden beast` number, since 10 + 1 + 212 + 211 + 0 + 220 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531121564 + ... + 531312092.

It is an arithmetic number, because the mean of its divisors is an integer number (1826218427670).

Almost surely, 2^{101212211022012} is an apocalyptic number.

101212211022012 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 101212211022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131487726792240).

101212211022012 is an abundant number, since it is smaller than the sum of its proper divisors (161763242562468).

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

101212211022012 is a wasteful number, since it uses less digits than its factorization.

101212211022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191804 (or 191799 counting only the distinct ones).

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

Adding to 101212211022012 its reverse (210220112212101), we get a palindrome (311432323234113).

The spelling of 101212211022012 in words is "one hundred one trillion, two hundred twelve billion, two hundred eleven million, twenty-two thousand, twelve".