10222210002100 has 72 divisors (see below), whose sum is σ = 22223706763608. Its totient is φ = 4081235558400.

The previous prime is 10222210002083. The next prime is 10222210002101. The reversal of 10222210002100 is 120001222201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5839501248036 + 4382708754064 = 2416506^2 + 2093492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222210002101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276459214 + ... + 276496186.

It is an arithmetic number, because the mean of its divisors is an integer number (308662593939).

Almost surely, 2^{10222210002100} is an apocalyptic number.

10222210002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222210002100 is an abundant number, since it is smaller than the sum of its proper divisors (12001496761508).

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

10222210002100 is a wasteful number, since it uses less digits than its factorization.

10222210002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42085 (or 42078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10222210002100 its reverse (120001222201), we get a palindrome (10342211224301).

The spelling of 10222210002100 in words is "ten trillion, two hundred twenty-two billion, two hundred ten million, two thousand, one hundred".