102100002202010 has 16 divisors (see below), whose sum is σ = 183780214000200. Its totient is φ = 40839954206016.

The previous prime is 102100002201997. The next prime is 102100002202013. The reversal of 102100002202010 is 10202200001201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69354701234809 + 32745300967201 = 8327947^2 + 5722351^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102100002201982 and 102100002202000.

It is not an unprimeable number, because it can be changed into a prime (102100002202013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4169936 + ... + 14885844.

Almost surely, 2^{102100002202010} is an apocalyptic number.

102100002202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100002202010 is a deficient number, since it is larger than the sum of its proper divisors (81680211798190).

102100002202010 is a wasteful number, since it uses less digits than its factorization.

102100002202010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11668705.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102100002202010 its reverse (10202200001201), we get a palindrome (112302202203211).

The spelling of 102100002202010 in words is "one hundred two trillion, one hundred billion, two million, two hundred two thousand, ten".