10222210210100 has 54 divisors (see below), whose sum is σ = 25803779214150. Its totient is φ = 3504757784640.

The previous prime is 10222210210049. The next prime is 10222210210103. The reversal of 10222210210100 is 101201222201.

It can be written as a sum of positive squares in 3 ways, for example, as 8574019216 + 10213636190884 = 92596^2 + 3195878^2 .

It is a super-2 number, since 2×10222210210100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222210210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1043077775 + ... + 1043087574.

It is an arithmetic number, because the mean of its divisors is an integer number (477847763225).

Almost surely, 2^{10222210210100} is an apocalyptic number.

10222210210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222210210100 is an abundant number, since it is smaller than the sum of its proper divisors (15581569004050).

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

10222210210100 is a wasteful number, since it uses less digits than its factorization.

10222210210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086165377 (or 2086165363 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10222210210100 its reverse (101201222201), we get a palindrome (10323411432301).

The spelling of 10222210210100 in words is "ten trillion, two hundred twenty-two billion, two hundred ten million, two hundred ten thousand, one hundred".