10020222012100 has 72 divisors (see below), whose sum is σ = 22922926241600. Its totient is φ = 3791391753600.

The previous prime is 10020222012091. The next prime is 10020222012103. The reversal of 10020222012100 is 121022202001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10020222012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2733360 + ... + 5245159.

Almost surely, 2^{10020222012100} is an apocalyptic number.

10020222012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020222012100 is an abundant number, since it is smaller than the sum of its proper divisors (12902704229500).

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

10020222012100 is a wasteful number, since it uses less digits than its factorization.

10020222012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7979213 (or 7979206 counting only the distinct ones).

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

Adding to 10020222012100 its reverse (121022202001), we get a palindrome (10141244214101).

The spelling of 10020222012100 in words is "ten trillion, twenty billion, two hundred twenty-two million, twelve thousand, one hundred".