102012131205 has 24 divisors (see below), whose sum is σ = 176962695000. Its totient is φ = 54362880000.

The previous prime is 102012131197. The next prime is 102012131231. The reversal of 102012131205 is 502131210201.

It can be written as a sum of positive squares in 4 ways, for example, as 8262264609 + 93749866596 = 90897^2 + 306186^2 .

It is not a de Polignac number, because 102012131205 - 2³ = 102012131197 is a prime.

It is a super-2 number, since 2×102012131205² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851296 + ... + 963705.

It is an arithmetic number, because the mean of its divisors is an integer number (7373445625).

Almost surely, 2^102012131205 is an apocalyptic number.

102012131205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102012131205 is a deficient number, since it is larger than the sum of its proper divisors (74950563795).

102012131205 is a wasteful number, since it uses less digits than its factorization.

102012131205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816261 (or 1816258 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 102012131205 its reverse (502131210201), we get a palindrome (604143341406).

The spelling of 102012131205 in words is "one hundred two billion, twelve million, one hundred thirty-one thousand, two hundred five".