101322003331101 has 12 divisors (see below), whose sum is σ = 157152494962752. Its totient is φ = 57898287617688.

The previous prime is 101322003331079. The next prime is 101322003331123. The reversal of 101322003331101 is 101133300223101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101322003331079) and next prime (101322003331123).

It is not a de Polignac number, because 101322003331101 - 2¹⁴ = 101322003314717 is a prime.

It is a super-2 number, since 2×101322003331101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322003321101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344632664245 + ... + 344632664538.

It is an arithmetic number, because the mean of its divisors is an integer number (13096041246896).

Almost surely, 2^{101322003331101} is an apocalyptic number.

It is an amenable number.

101322003331101 is a deficient number, since it is larger than the sum of its proper divisors (55830491631651).

101322003331101 is an equidigital number, since it uses as much as digits as its factorization.

101322003331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689265328800 (or 689265328793 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101322003331101 its reverse (101133300223101), we get a palindrome (202455303554202).

The spelling of 101322003331101 in words is "one hundred one trillion, three hundred twenty-two billion, three million, three hundred thirty-one thousand, one hundred one".