10021022220100 has 144 divisors (see below), whose sum is σ = 23624929688976. Its totient is φ = 3674585088000.

The previous prime is 10021022220091. The next prime is 10021022220103. The reversal of 10021022220100 is 102222012001.

It is a happy number.

10021022220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 9769325350464 + 251696869636 = 3125592^2 + 501694^2 .

It is not an unprimeable number, because it can be changed into a prime (10021022220103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42608830 + ... + 42843370.

It is an arithmetic number, because the mean of its divisors is an integer number (164062011729).

Almost surely, 2^{10021022220100} is an apocalyptic number.

10021022220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021022220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11812464844488).

10021022220100 is an abundant number, since it is smaller than the sum of its proper divisors (13603907468876).

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

10021022220100 is a wasteful number, since it uses less digits than its factorization.

10021022220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235226 (or 235219 counting only the distinct ones).

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

Adding to 10021022220100 its reverse (102222012001), we get a palindrome (10123244232101).

The spelling of 10021022220100 in words is "ten trillion, twenty-one billion, twenty-two million, two hundred twenty thousand, one hundred".