102141003114 has 48 divisors (see below), whose sum is σ = 229177624104. Its totient is φ = 32856969600.

The previous prime is 102141003113. The next prime is 102141003157. The reversal of 102141003114 is 411300141201.

It can be written as a sum of positive squares in 4 ways, for example, as 56612112489 + 45528890625 = 237933^2 + 213375^2 .

It is a super-3 number, since 3×102141003114³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102141003113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819397 + ... + 935784.

Almost surely, 2^102141003114 is an apocalyptic number.

102141003114 is an abundant number, since it is smaller than the sum of its proper divisors (127036620990).

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

102141003114 is a wasteful number, since it uses less digits than its factorization.

102141003114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755303 (or 1755300 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102141003114 its reverse (411300141201), we get a palindrome (513441144315).

The spelling of 102141003114 in words is "one hundred two billion, one hundred forty-one million, three thousand, one hundred fourteen".