102142131 has 32 divisors (see below), whose sum is σ = 168903168. Its totient is φ = 53464320.

The previous prime is 102142097. The next prime is 102142133. The reversal of 102142131 is 131241201.

It is not a de Polignac number, because 102142131 - 2⁷ = 102142003 is a prime.

It is a super-2 number, since 2×102142131² = 20866029850442322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102142131.

It is not an unprimeable number, because it can be changed into a prime (102142133) 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, 36036 + ... + 38766.

It is an arithmetic number, because the mean of its divisors is an integer number (5278224).

Almost surely, 2^102142131 is an apocalyptic number.

102142131 is a deficient number, since it is larger than the sum of its proper divisors (66761037).

102142131 is a wasteful number, since it uses less digits than its factorization.

102142131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 102142131 is about 10106.5390218413. The cubic root of 102142131 is about 467.4497926197.

Adding to 102142131 its reverse (131241201), we get a palindrome (233383332).

The spelling of 102142131 in words is "one hundred two million, one hundred forty-two thousand, one hundred thirty-one".