10100222201000 has 64 divisors (see below), whose sum is σ = 23851350666000. Its totient is φ = 4003023801600.

The previous prime is 10100222200979. The next prime is 10100222201033. The reversal of 10100222201000 is 10222200101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 598206339844 + 9502015861156 = 773438^2 + 3082534^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46222295 + ... + 46440294.

Almost surely, 2^{10100222201000} is an apocalyptic number.

10100222201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100222201000 is an abundant number, since it is smaller than the sum of its proper divisors (13751128465000).

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

10100222201000 is a wasteful number, since it uses less digits than its factorization.

10100222201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92662719 (or 92662705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10100222201000 its reverse (10222200101), we get a palindrome (10110444401101).

The spelling of 10100222201000 in words is "ten trillion, one hundred billion, two hundred twenty-two million, two hundred one thousand".