101221001112220 has 48 divisors (see below), whose sum is σ = 231918792537600. Its totient is φ = 36802766784320.

The previous prime is 101221001112197. The next prime is 101221001112241. The reversal of 101221001112220 is 22211100122101.

It is a super-3 number, since 3×101221001112220³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221001112194 and 101221001112203.

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, 28770640 + ... + 32096599.

It is an arithmetic number, because the mean of its divisors is an integer number (4831641511200).

Almost surely, 2^{101221001112220} is an apocalyptic number.

101221001112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221001112220 is an abundant number, since it is smaller than the sum of its proper divisors (130697791425380).

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

101221001112220 is a wasteful number, since it uses less digits than its factorization.

101221001112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60874818 (or 60874816 counting only the distinct ones).

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

Adding to 101221001112220 its reverse (22211100122101), we get a palindrome (123432101234321).

The spelling of 101221001112220 in words is "one hundred one trillion, two hundred twenty-one billion, one million, one hundred twelve thousand, two hundred twenty".