101331021221221 has 32 divisors (see below), whose sum is σ = 112736283770880. Its totient is φ = 90309057820800.

The previous prime is 101331021221207. The next prime is 101331021221231. The reversal of 101331021221221 is 122122120133101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101331021221221 - 2¹⁹ = 101331020696933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101331021221192 and 101331021221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331021221201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131823825 + ... + 132590281.

It is an arithmetic number, because the mean of its divisors is an integer number (3523008867840).

Almost surely, 2^{101331021221221} is an apocalyptic number.

101331021221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101331021221221 is a deficient number, since it is larger than the sum of its proper divisors (11405262549659).

101331021221221 is a wasteful number, since it uses less digits than its factorization.

101331021221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767625.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101331021221221 its reverse (122122120133101), we get a palindrome (223453141354322).

The spelling of 101331021221221 in words is "one hundred one trillion, three hundred thirty-one billion, twenty-one million, two hundred twenty-one thousand, two hundred twenty-one".