101020103321101 has 4 divisors (see below), whose sum is σ = 101020148280000. Its totient is φ = 101020058362204.

The previous prime is 101020103321057. The next prime is 101020103321153. The reversal of 101020103321101 is 101123301020101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101020103321101 - 2²⁵ = 101020069766669 is a prime.

It is a super-3 number, since 3×101020103321101³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020103721101) 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, 18921301 + ... + 23665498.

It is an arithmetic number, because the mean of its divisors is an integer number (25255037070000).

Almost surely, 2^{101020103321101} is an apocalyptic number.

It is an amenable number.

101020103321101 is a deficient number, since it is larger than the sum of its proper divisors (44958899).

101020103321101 is an equidigital number, since it uses as much as digits as its factorization.

101020103321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44958898.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101020103321101 its reverse (101123301020101), we get a palindrome (202143404341202).

The spelling of 101020103321101 in words is "one hundred one trillion, twenty billion, one hundred three million, three hundred twenty-one thousand, one hundred one".