102001310292 has 48 divisors (see below), whose sum is σ = 288003703680. Its totient is φ = 27428923392.

The previous prime is 102001310287. The next prime is 102001310293. The reversal of 102001310292 is 292013100201.

102001310292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001310293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35713317 + ... + 35716172.

It is an arithmetic number, because the mean of its divisors is an integer number (6000077160).

Almost surely, 2^102001310292 is an apocalyptic number.

102001310292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102001310292 is an abundant number, since it is smaller than the sum of its proper divisors (186002393388).

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

102001310292 is a wasteful number, since it uses less digits than its factorization.

102001310292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71429520 (or 71429518 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 102001310292 its reverse (292013100201), we get a palindrome (394014410493).

The spelling of 102001310292 in words is "one hundred two billion, one million, three hundred ten thousand, two hundred ninety-two".