102014101332 has 144 divisors (see below), whose sum is σ = 318896061120. Its totient is φ = 27033523200.

The previous prime is 102014101219. The next prime is 102014101363. The reversal of 102014101332 is 233101410201.

102014101332 is a `hidden beast` number, since 10 + 201 + 410 + 13 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423669 + ... + 619292.

It is an arithmetic number, because the mean of its divisors is an integer number (2214555980).

Almost surely, 2^102014101332 is an apocalyptic number.

102014101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102014101332 is an abundant number, since it is smaller than the sum of its proper divisors (216881959788).

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

102014101332 is a wasteful number, since it uses less digits than its factorization.

102014101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043014 (or 1043009 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102014101332 its reverse (233101410201), we get a palindrome (335115511533).

The spelling of 102014101332 in words is "one hundred two billion, fourteen million, one hundred one thousand, three hundred thirty-two".