101220121201212 has 288 divisors, whose sum is σ = 284941972783104. Its totient is φ = 30097542988800.

The previous prime is 101220121201211. The next prime is 101220121201219. The reversal of 101220121201212 is 212102121022101.

101220121201212 is a `hidden beast` number, since 10 + 1 + 220 + 1 + 21 + 201 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220121201211) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1537635843 + ... + 1537701669.

Almost surely, 2^{101220121201212} is an apocalyptic number.

101220121201212 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 101220121201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142470986391552).

101220121201212 is an abundant number, since it is smaller than the sum of its proper divisors (183721851581892).

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

101220121201212 is a wasteful number, since it uses less digits than its factorization.

101220121201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66649 (or 66644 counting only the distinct ones).

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

Adding to 101220121201212 its reverse (212102121022101), we get a palindrome (313322242223313).

The spelling of 101220121201212 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty-one million, two hundred one thousand, two hundred twelve".