102100002000210 has 48 divisors (see below), whose sum is σ = 265710203380440. Its totient is φ = 27201005848320.

The previous prime is 102100002000167. The next prime is 102100002000211. The reversal of 102100002000210 is 12000200001201.

It can be written as a sum of positive squares in 4 ways, for example, as 85385306333889 + 16714695666321 = 9240417^2 + 4088361^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102100002000192 and 102100002000201.

It is not an unprimeable number, because it can be changed into a prime (102100002000211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534515475 + ... + 534706454.

Almost surely, 2^{102100002000210} is an apocalyptic number.

102100002000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100002000210 is an abundant number, since it is smaller than the sum of its proper divisors (163610201380230).

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

102100002000210 is a wasteful number, since it uses less digits than its factorization.

102100002000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069223003 (or 1069223000 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102100002000210 its reverse (12000200001201), we get a palindrome (114100202001411).

The spelling of 102100002000210 in words is "one hundred two trillion, one hundred billion, two million, two hundred ten", and thus it is an aban number.