101021110202221 has 32 divisors (see below), whose sum is σ = 116311682764800. Its totient is φ = 86774093280000.

The previous prime is 101021110202171. The next prime is 101021110202251. The reversal of 101021110202221 is 122202011120101.

It is a cyclic number.

It is not a de Polignac number, because 101021110202221 - 2⁷ = 101021110202093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021110202195 and 101021110202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021110202251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 181022421 + ... + 181579621.

It is an arithmetic number, because the mean of its divisors is an integer number (3634740086400).

Almost surely, 2^{101021110202221} is an apocalyptic number.

101021110202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101021110202221 is a deficient number, since it is larger than the sum of its proper divisors (15290572562579).

101021110202221 is a wasteful number, since it uses less digits than its factorization.

101021110202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559521.

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

Adding to 101021110202221 its reverse (122202011120101), we get a palindrome (223223121322322).

The spelling of 101021110202221 in words is "one hundred one trillion, twenty-one billion, one hundred ten million, two hundred two thousand, two hundred twenty-one".