101002221220013 has 16 divisors (see below), whose sum is σ = 108075010544640. Its totient is φ = 94060218959616.

The previous prime is 101002221219941. The next prime is 101002221220027. The reversal of 101002221220013 is 310022122200101.

It is not a de Polignac number, because 101002221220013 - 2²² = 101002217025709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101002221219973 and 101002221220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002221220073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78530981 + ... + 79806762.

It is an arithmetic number, because the mean of its divisors is an integer number (6754688159040).

Almost surely, 2^{101002221220013} is an apocalyptic number.

It is an amenable number.

101002221220013 is a deficient number, since it is larger than the sum of its proper divisors (7072789324627).

101002221220013 is a wasteful number, since it uses less digits than its factorization.

101002221220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158338156.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101002221220013 its reverse (310022122200101), we get a palindrome (411024343420114).

The spelling of 101002221220013 in words is "one hundred one trillion, two billion, two hundred twenty-one million, two hundred twenty thousand, thirteen".