102010003131 has 16 divisors (see below), whose sum is σ = 138362688288. Its totient is φ = 66841824000.

The previous prime is 102010003103. The next prime is 102010003159. The reversal of 102010003131 is 131300010201.

It is an interprime number because it is at equal distance from previous prime (102010003103) and next prime (102010003159).

It is not a de Polignac number, because 102010003131 - 2¹⁷ = 102009872059 is a prime.

It is a super-2 number, since 2×102010003131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102010003231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1187200 + ... + 1270221.

It is an arithmetic number, because the mean of its divisors is an integer number (8647668018).

Almost surely, 2^102010003131 is an apocalyptic number.

102010003131 is a deficient number, since it is larger than the sum of its proper divisors (36352685157).

102010003131 is a wasteful number, since it uses less digits than its factorization.

102010003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457662.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 102010003131 its reverse (131300010201), we get a palindrome (233310013332).

The spelling of 102010003131 in words is "one hundred two billion, ten million, three thousand, one hundred thirty-one".