101102102133 has 32 divisors (see below), whose sum is σ = 143097311232. Its totient is φ = 63360052800.

The previous prime is 101102102093. The next prime is 101102102173. The reversal of 101102102133 is 331201201101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101102102093) and next prime (101102102173).

It is not a de Polignac number, because 101102102133 - 2⁶ = 101102102069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102102173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1967143 + ... + 2017883.

It is an arithmetic number, because the mean of its divisors is an integer number (4471790976).

Almost surely, 2^101102102133 is an apocalyptic number.

It is an amenable number.

101102102133 is a deficient number, since it is larger than the sum of its proper divisors (41995209099).

101102102133 is a wasteful number, since it uses less digits than its factorization.

101102102133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51265.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101102102133 its reverse (331201201101), we get a palindrome (432303303234).

The spelling of 101102102133 in words is "one hundred one billion, one hundred two million, one hundred two thousand, one hundred thirty-three".