10211221122210 has 48 divisors (see below), whose sum is σ = 26550687768696. Its totient is φ = 2722837135104.

The previous prime is 10211221122199. The next prime is 10211221122229. The reversal of 10211221122210 is 1222112211201.

10211221122210 is a `hidden beast` number, since 1 + 0 + 211 + 221 + 1 + 22 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8165837753649 + 2045383368561 = 2857593^2 + 1430169^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640059 + ... + 4807518.

Almost surely, 2^{10211221122210} is an apocalyptic number.

10211221122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10211221122210 is an abundant number, since it is smaller than the sum of its proper divisors (16339466646486).

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

10211221122210 is a wasteful number, since it uses less digits than its factorization.

10211221122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6465187 (or 6465184 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10211221122210 its reverse (1222112211201), we get a palindrome (11433333333411).

The spelling of 10211221122210 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred ten".