101222011001220 has 144 divisors (see below), whose sum is σ = 291680922976128. Its totient is φ = 26227645194240.

The previous prime is 101222011001191. The next prime is 101222011001273. The reversal of 101222011001220 is 22100110222101.

It is a super-2 number, since 2×101222011001220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101222011001220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60200740 + ... + 61859300.

It is an arithmetic number, because the mean of its divisors is an integer number (2025561965112).

Almost surely, 2^{101222011001220} is an apocalyptic number.

101222011001220 is a gapful number since it is divisible by the number (10) 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 101222011001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145840461488064).

101222011001220 is an abundant number, since it is smaller than the sum of its proper divisors (190458911974908).

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

101222011001220 is a wasteful number, since it uses less digits than its factorization.

101222011001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659390 (or 1659351 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101222011001220 its reverse (22100110222101), we get a palindrome (123322121223321).

The spelling of 101222011001220 in words is "one hundred one trillion, two hundred twenty-two billion, eleven million, one thousand, two hundred twenty".