101102102033 has 8 divisors (see below), whose sum is σ = 101578184136. Its totient is φ = 100626380800.

The previous prime is 101102102029. The next prime is 101102102047. The reversal of 101102102033 is 330201201101.

It can be written as a sum of positive squares in 4 ways, for example, as 6716130304 + 94385971729 = 81952^2 + 307223^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101102102033 - 2² = 101102102029 is a prime.

It is a super-2 number, since 2×101102102033² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102101999 and 101102102017.

It is not an unprimeable number, because it can be changed into a prime (101102102093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479873 + ... + 657633.

It is an arithmetic number, because the mean of its divisors is an integer number (12697273017).

Almost surely, 2^101102102033 is an apocalyptic number.

It is an amenable number.

101102102033 is a deficient number, since it is larger than the sum of its proper divisors (476082103).

101102102033 is a wasteful number, since it uses less digits than its factorization.

101102102033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180435.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101102102033 its reverse (330201201101), we get a palindrome (431303303134).

The spelling of 101102102033 in words is "one hundred one billion, one hundred two million, one hundred two thousand, thirty-three".