101022201022212 has 72 divisors (see below), whose sum is σ = 255717135063936. Its totient is φ = 33627222620544.

The previous prime is 101022201022187. The next prime is 101022201022217. The reversal of 101022201022212 is 212220102220101.

It is a happy number.

It is a super-2 number, since 2×101022201022212² (a number of 29 digits) contains 22 as substring.

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 (101022201022217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81806953 + ... + 83032655.

It is an arithmetic number, because the mean of its divisors is an integer number (3551626875888).

Almost surely, 2^{101022201022212} is an apocalyptic number.

101022201022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022201022212 is an abundant number, since it is smaller than the sum of its proper divisors (154694934041724).

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

101022201022212 is a wasteful number, since it uses less digits than its factorization.

101022201022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228897 (or 1228892 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101022201022212 its reverse (212220102220101), we get a palindrome (313242303242313).

The spelling of 101022201022212 in words is "one hundred one trillion, twenty-two billion, two hundred one million, twenty-two thousand, two hundred twelve".