10211122100210 has 32 divisors (see below), whose sum is σ = 18460706043312. Its totient is φ = 4066521984000.

The previous prime is 10211122100203. The next prime is 10211122100219. The reversal of 10211122100210 is 1200122111201.

It can be written as a sum of positive squares in 8 ways, for example, as 4879950501721 + 5331171598489 = 2209061^2 + 2308933^2 .

It is not an unprimeable number, because it can be changed into a prime (10211122100219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24258662 + ... + 24675998.

Almost surely, 2^{10211122100210} is an apocalyptic number.

10211122100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10211122100210 is a deficient number, since it is larger than the sum of its proper divisors (8249583943102).

10211122100210 is a wasteful number, since it uses less digits than its factorization.

10211122100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428078.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211122100210 its reverse (1200122111201), we get a palindrome (11411244211411).

The spelling of 10211122100210 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thousand, two hundred ten".