102123012264 has 512 divisors, whose sum is σ = 338610585600. Its totient is φ = 24934440960.

The previous prime is 102123012151. The next prime is 102123012283. The reversal of 102123012264 is 462210321201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 236944129 + ... + 236944559.

It is an arithmetic number, because the mean of its divisors is an integer number (661348800).

Almost surely, 2^102123012264 is an apocalyptic number.

102123012264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123012264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169305292800).

102123012264 is an abundant number, since it is smaller than the sum of its proper divisors (236487573336).

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

102123012264 is a wasteful number, since it uses less digits than its factorization.

102123012264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102123012264 its reverse (462210321201), we get a palindrome (564333333465).

The spelling of 102123012264 in words is "one hundred two billion, one hundred twenty-three million, twelve thousand, two hundred sixty-four".