101022221010 has 128 divisors (see below), whose sum is σ = 251841623040. Its totient is φ = 25916672000.

The previous prime is 101022220961. The next prime is 101022221039. The reversal of 101022221010 is 10122220101.

101022221010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33416359 + ... + 33419381.

It is an arithmetic number, because the mean of its divisors is an integer number (1967512680).

Almost surely, 2^101022221010 is an apocalyptic number.

101022221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125920811520).

101022221010 is an abundant number, since it is smaller than the sum of its proper divisors (150819402030).

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

101022221010 is a wasteful number, since it uses less digits than its factorization.

101022221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101022221010 its reverse (10122220101), we get a palindrome (111144441111).

Subtracting from 101022221010 its reverse (10122220101), we obtain a palindrome (90900000909).

The spelling of 101022221010 in words is "one hundred one billion, twenty-two million, two hundred twenty-one thousand, ten".