102010000110210 has 80 divisors (see below), whose sum is σ = 274299443837496. Its totient is φ = 27202082764032.

The previous prime is 102010000110197. The next prime is 102010000110211. The reversal of 102010000110210 is 12011000010201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64008656292681 + 38001343817529 = 8000541^2 + 6164523^2 .

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 = 102010000110192 and 102010000110201.

It is not an unprimeable number, because it can be changed into a prime (102010000110211) 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 39 ways as a sum of consecutive naturals, for example, 37079784 + ... + 39735756.

Almost surely, 2^{102010000110210} is an apocalyptic number.

102010000110210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102010000110210 is an abundant number, since it is smaller than the sum of its proper divisors (172289443727286).

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

102010000110210 is a wasteful number, since it uses less digits than its factorization.

102010000110210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703409 (or 2703400 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102010000110210 its reverse (12011000010201), we get a palindrome (114021000120411).

The spelling of 102010000110210 in words is "one hundred two trillion, ten billion, one hundred ten thousand, two hundred ten".