101121001002221 has 8 divisors (see below), whose sum is σ = 101140577019000. Its totient is φ = 101101426662400.

The previous prime is 101121001002193. The next prime is 101121001002239. The reversal of 101121001002221 is 122200100121101.

It can be written as a sum of positive squares in 4 ways, for example, as 44303853580996 + 56817147421225 = 6656114^2 + 7537715^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121001002221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101121001002196 and 101121001002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121001005221) 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 7 ways as a sum of consecutive naturals, for example, 123728321 + ... + 124542921.

It is an arithmetic number, because the mean of its divisors is an integer number (12642572127375).

Almost surely, 2^{101121001002221} is an apocalyptic number.

It is an amenable number.

101121001002221 is a deficient number, since it is larger than the sum of its proper divisors (19576016779).

101121001002221 is an equidigital number, since it uses as much as digits as its factorization.

101121001002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838479.

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

Adding to 101121001002221 its reverse (122200100121101), we get a palindrome (223321101123322).

The spelling of 101121001002221 in words is "one hundred one trillion, one hundred twenty-one billion, one million, two thousand, two hundred twenty-one".