221022102101000 has 64 divisors (see below), whose sum is σ = 517213163853360. Its totient is φ = 88405175040000.

The previous prime is 221022102100999. The next prime is 221022102101027. The reversal of 221022102101000 is 101201220122.

It can be written as a sum of positive squares in 8 ways, for example, as 17027325510724 + 203994776590276 = 4126418^2 + 14282674^2 .

It is a super-2 number, since 2×221022102101000² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 19610840 + ... + 28751160.

Almost surely, 2^{221022102101000} is an apocalyptic number.

221022102101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022102101000 is an abundant number, since it is smaller than the sum of its proper divisors (296191061752360).

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

221022102101000 is a wasteful number, since it uses less digits than its factorization.

221022102101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164523 (or 9164509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221022102101000 its reverse (101201220122), we get a palindrome (221123303321122).

The spelling of 221022102101000 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred two million, one hundred one thousand".