10010212221100 has 144 divisors (see below), whose sum is σ = 27239401441728. Its totient is φ = 3108292162560.

The previous prime is 10010212221059. The next prime is 10010212221131. The reversal of 10010212221100 is 112221201001.

It is a super-2 number, since 2×10010212221100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9895279 + ... + 10859878.

It is an arithmetic number, because the mean of its divisors is an integer number (189162510012).

Almost surely, 2^{10010212221100} is an apocalyptic number.

10010212221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010212221100 is an abundant number, since it is smaller than the sum of its proper divisors (17229189220628).

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

10010212221100 is a wasteful number, since it uses less digits than its factorization.

10010212221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20755244 (or 20755237 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10010212221100 its reverse (112221201001), we get a palindrome (10122433422101).

The spelling of 10010212221100 in words is "ten trillion, ten billion, two hundred twelve million, two hundred twenty-one thousand, one hundred".