101022220212 has 192 divisors, whose sum is σ = 257608802304. Its totient is φ = 30725291520.

The previous prime is 101022220181. The next prime is 101022220223. The reversal of 101022220212 is 212022220101.

101022220212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101022220191 and 101022220200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200839153 + ... + 200839655.

It is an arithmetic number, because the mean of its divisors is an integer number (1341712512).

Almost surely, 2^101022220212 is an apocalyptic number.

101022220212 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 101022220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128804401152).

101022220212 is an abundant number, since it is smaller than the sum of its proper divisors (156586582092).

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

101022220212 is a wasteful number, since it uses less digits than its factorization.

101022220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101022220212 its reverse (212022220101), we get a palindrome (313044440313).

The spelling of 101022220212 in words is "one hundred one billion, twenty-two million, two hundred twenty thousand, two hundred twelve".