101022201221020 has 48 divisors (see below), whose sum is σ = 212968180389888. Its totient is φ = 40252414812480.

The previous prime is 101022201221017. The next prime is 101022201221059. The reversal of 101022201221020 is 20122102220101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101022201220985 and 101022201221003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75241627 + ... + 76572493.

It is an arithmetic number, because the mean of its divisors is an integer number (4436837091456).

Almost surely, 2^{101022201221020} is an apocalyptic number.

101022201221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022201221020 is an abundant number, since it is smaller than the sum of its proper divisors (111945979168868).

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

101022201221020 is a wasteful number, since it uses less digits than its factorization.

101022201221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345570 (or 1345568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101022201221020 its reverse (20122102220101), we get a palindrome (121144303441121).

The spelling of 101022201221020 in words is "one hundred one trillion, twenty-two billion, two hundred one million, two hundred twenty-one thousand, twenty".