102012132001210 has 128 divisors (see below), whose sum is σ = 202875347110464. Its totient is φ = 36780634275840.

The previous prime is 102012132001177. The next prime is 102012132001211. The reversal of 102012132001210 is 12100231210201.

It can be written as a sum of positive squares in 32 ways, for example, as 1077819788761 + 100934312212449 = 1038181^2 + 10046607^2 .

It is not an unprimeable number, because it can be changed into a prime (102012132001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63000340 + ... + 64599280.

Almost surely, 2^{102012132001210} is an apocalyptic number.

102012132001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102012132001210 is a deficient number, since it is larger than the sum of its proper divisors (100863215109254).

102012132001210 is a wasteful number, since it uses less digits than its factorization.

102012132001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599188.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102012132001210 its reverse (12100231210201), we get a palindrome (114112363211411).

The spelling of 102012132001210 in words is "one hundred two trillion, twelve billion, one hundred thirty-two million, one thousand, two hundred ten".