101022121120221 has 36 divisors (see below), whose sum is σ = 169749078288192. Its totient is φ = 57725421226704.

The previous prime is 101022121120127. The next prime is 101022121120259. The reversal of 101022121120221 is 122021121220101.

101022121120221 is a `hidden beast` number, since 1 + 0 + 10 + 221 + 211 + 2 + 0 + 221 = 666.

It is not a de Polignac number, because 101022121120221 - 2¹⁸ = 101022120858077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022121120194 and 101022121120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022121125221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14056860 + ... + 19990986.

It is an arithmetic number, because the mean of its divisors is an integer number (4715252174672).

Almost surely, 2^{101022121120221} is an apocalyptic number.

It is an amenable number.

101022121120221 is a deficient number, since it is larger than the sum of its proper divisors (68726957167971).

101022121120221 is a wasteful number, since it uses less digits than its factorization.

101022121120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972750 (or 5972740 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101022121120221 its reverse (122021121220101), we get a palindrome (223043242340322).

The spelling of 101022121120221 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twenty-one".