101001022101221 has 8 divisors (see below), whose sum is σ = 110183711217888. Its totient is φ = 91818462654000.

The previous prime is 101001022101181. The next prime is 101001022101263. The reversal of 101001022101221 is 122101220100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101001022101221 - 2⁶ = 101001022101157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001022101196 and 101001022101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001022107221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30785150 + ... + 33907631.

It is an arithmetic number, because the mean of its divisors is an integer number (13772963902236).

Almost surely, 2^{101001022101221} is an apocalyptic number.

101001022101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101001022101221 is a deficient number, since it is larger than the sum of its proper divisors (9182689116667).

101001022101221 is a wasteful number, since it uses less digits than its factorization.

101001022101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64834723.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101001022101221 its reverse (122101220100101), we get a palindrome (223102242201322).

The spelling of 101001022101221 in words is "one hundred one trillion, one billion, twenty-two million, one hundred one thousand, two hundred twenty-one".