101021221101220 has 48 divisors (see below), whose sum is σ = 256712750098560. Its totient is φ = 32598444455424.

The previous prime is 101021221101167. The next prime is 101021221101239. The reversal of 101021221101220 is 22101122120101.

It is a super-2 number, since 2×101021221101220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101021221101194 and 101021221101203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21222943230 + ... + 21222947989.

It is an arithmetic number, because the mean of its divisors is an integer number (5348182293720).

Almost surely, 2^{101021221101220} is an apocalyptic number.

101021221101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021221101220 is an abundant number, since it is smaller than the sum of its proper divisors (155691528997340).

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

101021221101220 is a wasteful number, since it uses less digits than its factorization.

101021221101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42445891252 (or 42445891250 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101021221101220 its reverse (22101122120101), we get a palindrome (123122343221321).

The spelling of 101021221101220 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".