101201021221212 has 192 divisors, whose sum is σ = 295975680000000. Its totient is φ = 29625737688000.

The previous prime is 101201021221211. The next prime is 101201021221213. The reversal of 101201021221212 is 212122120102101.

101201021221212 is a `hidden beast` number, since 10 + 1 + 201 + 0 + 21 + 221 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (101201021221211) and next prime (101201021221213).

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 (101201021221211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18622539 + ... + 23435037.

It is an arithmetic number, because the mean of its divisors is an integer number (1541540000000).

Almost surely, 2^{101201021221212} is an apocalyptic number.

101201021221212 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 101201021221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147987840000000).

101201021221212 is an abundant number, since it is smaller than the sum of its proper divisors (194774658778788).

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

101201021221212 is a wasteful number, since it uses less digits than its factorization.

101201021221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813125 (or 4813117 counting only the distinct ones).

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

Adding to 101201021221212 its reverse (212122120102101), we get a palindrome (313323141323313).

It can be divided in two parts, 1012010 and 21221212, that added together give a palindrome (22233222).

The spelling of 101201021221212 in words is "one hundred one trillion, two hundred one billion, twenty-one million, two hundred twenty-one thousand, two hundred twelve".