10122122221000 has 64 divisors (see below), whose sum is σ = 23822678346480. Its totient is φ = 4025445068800.

The previous prime is 10122122220989. The next prime is 10122122221007. The reversal of 10122122221000 is 12222122101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 810140406084 + 9311981814916 = 900078^2 + 3051554^2 .

It is not an unprimeable number, because it can be changed into a prime (10122122221007) 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, 29081689 + ... + 29427688.

Almost surely, 2^{10122122221000} is an apocalyptic number.

10122122221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122122221000 is an abundant number, since it is smaller than the sum of its proper divisors (13700556125480).

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

10122122221000 is a wasteful number, since it uses less digits than its factorization.

10122122221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58509571 (or 58509557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122122221000 its reverse (12222122101), we get a palindrome (10134344343101).

The spelling of 10122122221000 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand".