102100001133 has 32 divisors (see below), whose sum is σ = 150598901376. Its totient is φ = 61130539008.

The previous prime is 102100001119. The next prime is 102100001147. The reversal of 102100001133 is 331100001201.

It is an interprime number because it is at equal distance from previous prime (102100001119) and next prime (102100001147).

It is not a de Polignac number, because 102100001133 - 2²¹ = 102097903981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100001153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312541 + ... + 549437.

It is an arithmetic number, because the mean of its divisors is an integer number (4706215668).

Almost surely, 2^102100001133 is an apocalyptic number.

102100001133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102100001133 is a deficient number, since it is larger than the sum of its proper divisors (48498900243).

102100001133 is a wasteful number, since it uses less digits than its factorization.

102100001133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237213.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 102100001133 its reverse (331100001201), we get a palindrome (433200002334).

The spelling of 102100001133 in words is "one hundred two billion, one hundred million, one thousand, one hundred thirty-three".