101022121212222 has 128 divisors (see below), whose sum is σ = 246990085816320. Its totient is φ = 26888323622400.

The previous prime is 101022121212197. The next prime is 101022121212263. The reversal of 101022121212222 is 222212121220101.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 87359679 + ... + 88508517.

It is an arithmetic number, because the mean of its divisors is an integer number (1929610045440).

Almost surely, 2^{101022121212222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022121212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123495042908160).

101022121212222 is an abundant number, since it is smaller than the sum of its proper divisors (145967964604098).

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

101022121212222 is a wasteful number, since it uses less digits than its factorization.

101022121212222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150126.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 101022121212222 its reverse (222212121220101), we get a palindrome (323234242432323).

The spelling of 101022121212222 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, two hundred twenty-two".