10102100210212 has 36 divisors (see below), whose sum is σ = 19755638906220. Its totient is φ = 4503722683392.

The previous prime is 10102100210197. The next prime is 10102100210227. The reversal of 10102100210212 is 21201200120101.

It is an interprime number because it is at equal distance from previous prime (10102100210197) and next prime (10102100210227).

It can be written as a sum of positive squares in 2 ways, for example, as 6234529585216 + 3867570624996 = 2496904^2 + 1966614^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10102100210192 and 10102100210201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205737637 + ... + 205786732.

It is an arithmetic number, because the mean of its divisors is an integer number (548767747395).

Almost surely, 2^{10102100210212} is an apocalyptic number.

It is an amenable number.

10102100210212 is a deficient number, since it is larger than the sum of its proper divisors (9653538696008).

10102100210212 is a wasteful number, since it uses less digits than its factorization.

10102100210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411524428 (or 411524407 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10102100210212 its reverse (21201200120101), we get a palindrome (31303300330313).

The spelling of 10102100210212 in words is "ten trillion, one hundred two billion, one hundred million, two hundred ten thousand, two hundred twelve".