101301121033 has 12 divisors (see below), whose sum is σ = 117902176452. Its totient is φ = 86783776800.

The previous prime is 101301120979. The next prime is 101301121067. The reversal of 101301121033 is 330121103101.

It can be written as a sum of positive squares in 2 ways, for example, as 11326919184 + 89974201849 = 106428^2 + 299957^2 .

It is not a de Polignac number, because 101301121033 - 2²⁹ = 100764250121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101301120998 and 101301121016.

It is not an unprimeable number, because it can be changed into a prime (101301121433) 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, 450610 + ... + 636907.

It is an arithmetic number, because the mean of its divisors is an integer number (9825181371).

Almost surely, 2^101301121033 is an apocalyptic number.

It is an amenable number.

101301121033 is a deficient number, since it is larger than the sum of its proper divisors (16601055419).

101301121033 is a wasteful number, since it uses less digits than its factorization.

101301121033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089432 (or 1089425 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101301121033 its reverse (330121103101), we get a palindrome (431422224134).

The spelling of 101301121033 in words is "one hundred one billion, three hundred one million, one hundred twenty-one thousand, thirty-three".