101020221221013 has 6 divisors (see below), whose sum is σ = 145918097319254. Its totient is φ = 67346814147336.

The previous prime is 101020221220973. The next prime is 101020221221041. The reversal of 101020221221013 is 310122122020101.

It can be written as a sum of positive squares in only one way, i.e., 92764983205764 + 8255238015249 = 9631458^2 + 2873193^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101020221221013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020221223013) 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 5 ways as a sum of consecutive naturals, for example, 5612234512270 + ... + 5612234512287.

Almost surely, 2^{101020221221013} is an apocalyptic number.

It is an amenable number.

101020221221013 is a deficient number, since it is larger than the sum of its proper divisors (44897876098241).

101020221221013 is a wasteful number, since it uses less digits than its factorization.

101020221221013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224469024563 (or 11224469024560 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101020221221013 its reverse (310122122020101), we get a palindrome (411142343241114).

The spelling of 101020221221013 in words is "one hundred one trillion, twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, thirteen".