101220120222221 has 48 divisors (see below), whose sum is σ = 138381287200128. Its totient is φ = 72779105347200.

The previous prime is 101220120222197. The next prime is 101220120222227. The reversal of 101220120222221 is 122222021022101.

It is not a de Polignac number, because 101220120222221 - 2⁶ = 101220120222157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101220120222193 and 101220120222202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220120222227) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16571096 + ... + 21841278.

It is an arithmetic number, because the mean of its divisors is an integer number (2882943483336).

Almost surely, 2^{101220120222221} is an apocalyptic number.

101220120222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101220120222221 is a deficient number, since it is larger than the sum of its proper divisors (37161166977907).

101220120222221 is a wasteful number, since it uses less digits than its factorization.

101220120222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272962 (or 5272955 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101220120222221 its reverse (122222021022101), we get a palindrome (223442141244322).

The spelling of 101220120222221 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty million, two hundred twenty-two thousand, two hundred twenty-one".