102002212120140 has 144 divisors (see below), whose sum is σ = 314034160527360. Its totient is φ = 26793805484160.

The previous prime is 102002212120139. The next prime is 102002212120153. The reversal of 102002212120140 is 41021212200201.

102002212120140 is a `hidden beast` number, since 1 + 0 + 200 + 221 + 2 + 1 + 201 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474562095 + ... + 474776985.

It is an arithmetic number, because the mean of its divisors is an integer number (2180792781440).

Almost surely, 2^{102002212120140} is an apocalyptic number.

102002212120140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002212120140 is an abundant number, since it is smaller than the sum of its proper divisors (212031948407220).

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

102002212120140 is a wasteful number, since it uses less digits than its factorization.

102002212120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254332 (or 254327 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102002212120140 its reverse (41021212200201), we get a palindrome (143023424320341).

The spelling of 102002212120140 in words is "one hundred two trillion, two billion, two hundred twelve million, one hundred twenty thousand, one hundred forty".