102101292 has 36 divisors (see below), whose sum is σ = 258397776. Its totient is φ = 33993120.

The previous prime is 102101243. The next prime is 102101297. The reversal of 102101292 is 292101201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102101297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53458 + ... + 55334.

It is an arithmetic number, because the mean of its divisors is an integer number (7177716).

Almost surely, 2^102101292 is an apocalyptic number.

102101292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102101292 is an abundant number, since it is smaller than the sum of its proper divisors (156296484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101292 is a wasteful number, since it uses less digits than its factorization.

102101292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 102101292 is about 10104.5183952527. The cubic root of 102101292 is about 467.3874849095.

Adding to 102101292 its reverse (292101201), we get a palindrome (394202493).

The spelling of 102101292 in words is "one hundred two million, one hundred one thousand, two hundred ninety-two".