21000102112010 has 48 divisors (see below), whose sum is σ = 43972083613800. Its totient is φ = 7199962761600.

The previous prime is 21000102112007. The next prime is 21000102112013. The reversal of 21000102112010 is 1021120100012.

It is an interprime number because it is at equal distance from previous prime (21000102112007) and next prime (21000102112013).

It can be written as a sum of positive squares in 4 ways, for example, as 12022869694801 + 8977232417209 = 3467401^2 + 2996203^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21000102111982 and 21000102112000.

It is not an unprimeable number, because it can be changed into a prime (21000102112013) 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, 76744916 + ... + 77018064.

Almost surely, 2^{21000102112010} is an apocalyptic number.

21000102112010 is an abundant number, since it is smaller than the sum of its proper divisors (22971981501790).

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

21000102112010 is a wasteful number, since it uses less digits than its factorization.

21000102112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430071 (or 430064 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21000102112010 its reverse (1021120100012), we get a palindrome (22021222212022).

The spelling of 21000102112010 in words is "twenty-one trillion, one hundred two million, one hundred twelve thousand, ten".