102100012005225 has 96 divisors (see below), whose sum is σ = 188448534771840. Its totient is φ = 48449049661440.

The previous prime is 102100012005221. The next prime is 102100012005269. The reversal of 102100012005225 is 522500210001201.

It is not a de Polignac number, because 102100012005225 - 2² = 102100012005221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102100012005221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9365280 + ... + 17085329.

It is an arithmetic number, because the mean of its divisors is an integer number (1963005570540).

Almost surely, 2^{102100012005225} is an apocalyptic number.

102100012005225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102100012005225 is a deficient number, since it is larger than the sum of its proper divisors (86348522766615).

102100012005225 is a wasteful number, since it uses less digits than its factorization.

102100012005225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26450779 (or 26450774 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 102100012005225 its reverse (522500210001201), we get a palindrome (624600222006426).

The spelling of 102100012005225 in words is "one hundred two trillion, one hundred billion, twelve million, five thousand, two hundred twenty-five".