10210212120100 has 36 divisors (see below), whose sum is σ = 22574201072724. Its totient is φ = 4007026641280.

The previous prime is 10210212120071. The next prime is 10210212120127. The reversal of 10210212120100 is 102121201201.

It can be written as a sum of positive squares in 6 ways, for example, as 1489625132004 + 8720586988096 = 1220502^2 + 2953064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963222259 + ... + 963232858.

It is an arithmetic number, because the mean of its divisors is an integer number (627061140909).

Almost surely, 2^{10210212120100} is an apocalyptic number.

10210212120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210212120100 is an abundant number, since it is smaller than the sum of its proper divisors (12363988952624).

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

10210212120100 is a wasteful number, since it uses less digits than its factorization.

10210212120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926455184 (or 1926455177 counting only the distinct ones).

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

Adding to 10210212120100 its reverse (102121201201), we get a palindrome (10312333321301).

The spelling of 10210212120100 in words is "ten trillion, two hundred ten billion, two hundred twelve million, one hundred twenty thousand, one hundred".