101221101101022 has 128 divisors (see below), whose sum is σ = 247657612492800. Its totient is φ = 26937054144000.

The previous prime is 101221101101011. The next prime is 101221101101027. The reversal of 101221101101022 is 220101101122101.

It is a happy number.

It is a super-2 number, since 2×101221101101022² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221101100992 and 101221101101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221101101027) 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, 17852022 + ... + 22828422.

It is an arithmetic number, because the mean of its divisors is an integer number (1934825097600).

Almost surely, 2^{101221101101022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221101101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123828806246400).

101221101101022 is an abundant number, since it is smaller than the sum of its proper divisors (146436511391778).

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

101221101101022 is a wasteful number, since it uses less digits than its factorization.

101221101101022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976862.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101221101101022 its reverse (220101101122101), we get a palindrome (321322202223123).

The spelling of 101221101101022 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred one million, one hundred one thousand, twenty-two".