101022001013 has 4 divisors (see below), whose sum is σ = 101321769900. Its totient is φ = 100722232128.

The previous prime is 101022001009. The next prime is 101022001039. The reversal of 101022001013 is 310100220101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 63414319684 + 37607681329 = 251822^2 + 193927^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022001013 - 2² = 101022001009 is a prime.

It is a super-3 number, since 3×101022001013³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101022000985 and 101022001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022001313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149883938 + ... + 149884611.

It is an arithmetic number, because the mean of its divisors is an integer number (25330442475).

Almost surely, 2^101022001013 is an apocalyptic number.

It is an amenable number.

101022001013 is a deficient number, since it is larger than the sum of its proper divisors (299768887).

101022001013 is an equidigital number, since it uses as much as digits as its factorization.

101022001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299768886.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101022001013 its reverse (310100220101), we get a palindrome (411122221114).

The spelling of 101022001013 in words is "one hundred one billion, twenty-two million, one thousand, thirteen".