102012022100010 has 96 divisors (see below), whose sum is σ = 273125959315776. Its totient is φ = 24361079846400.

The previous prime is 102012022099979. The next prime is 102012022100017. The reversal of 102012022100010 is 10001220210201.

It is not an unprimeable number, because it can be changed into a prime (102012022100017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209476831 + ... + 209963250.

It is an arithmetic number, because the mean of its divisors is an integer number (2845062076206).

Almost surely, 2^{102012022100010} is an apocalyptic number.

102012022100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102012022100010 is an abundant number, since it is smaller than the sum of its proper divisors (171113937215766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102012022100010 is a wasteful number, since it uses less digits than its factorization.

102012022100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419440180 (or 419440169 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102012022100010 its reverse (10001220210201), we get a palindrome (112013242310211).

The spelling of 102012022100010 in words is "one hundred two trillion, twelve billion, twenty-two million, one hundred thousand, ten".