102117262152 has 128 divisors (see below), whose sum is σ = 261677174400. Its totient is φ = 33201113088.

The previous prime is 102117262151. The next prime is 102117262153. The reversal of 102117262152 is 251262711201.

It is a happy number.

102117262152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102117262151) and next prime (102117262153).

It is a super-2 number, since 2×102117262152² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102117262151) 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, 63308098 + ... + 63309710.

It is an arithmetic number, because the mean of its divisors is an integer number (2044352925).

Almost surely, 2^102117262152 is an apocalyptic number.

102117262152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102117262152 is an abundant number, since it is smaller than the sum of its proper divisors (159559912248).

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

102117262152 is a wasteful number, since it uses less digits than its factorization.

102117262152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

Adding to 102117262152 its reverse (251262711201), we get a palindrome (353379973353).

The spelling of 102117262152 in words is "one hundred two billion, one hundred seventeen million, two hundred sixty-two thousand, one hundred fifty-two".