101001122122220 has 144 divisors (see below), whose sum is σ = 222672310416864. Its totient is φ = 38472787584000.

The previous prime is 101001122122213. The next prime is 101001122122291. The reversal of 101001122122220 is 22221221100101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227175070 + ... + 1227257370.

It is an arithmetic number, because the mean of its divisors is an integer number (1546335489006).

Almost surely, 2^{101001122122220} is an apocalyptic number.

101001122122220 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 101001122122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111336155208432).

101001122122220 is an abundant number, since it is smaller than the sum of its proper divisors (121671188294644).

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

101001122122220 is a wasteful number, since it uses less digits than its factorization.

101001122122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83392 (or 83359 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101001122122220 its reverse (22221221100101), we get a palindrome (123222343222321).

The spelling of 101001122122220 in words is "one hundred one trillion, one billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".