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2021121002200 = 2352411272418053
BaseRepresentation
bin11101011010010100001…
…100110000101011011000
321011012212101201221010211
4131122110030300223120
5231103223434032300
64144253513220504
7266010156026656
oct35322414605330
97135771657124
102021121002200
1170a17512a403
12287859401734
1311878b264301
146db739bddd6
153789237c4ba
hex1d694330ad8

2021121002200 has 192 divisors, whose sum is σ = 4872358149120. Its totient is φ = 779175936000.

The previous prime is 2021121002081. The next prime is 2021121002221. The reversal of 2021121002200 is 22001211202.

It is a happy number.

It is a congruent number.

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, 250973374 + ... + 250981426.

It is an arithmetic number, because the mean of its divisors is an integer number (25376865360).

Almost surely, 22021121002200 is an apocalyptic number.

2021121002200 is a gapful number since it is divisible by the number (20) 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 2021121002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436179074560).

2021121002200 is an abundant number, since it is smaller than the sum of its proper divisors (2851237146920).

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

2021121002200 is a wasteful number, since it uses less digits than its factorization.

2021121002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478 (or 8469 counting only the distinct ones).

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

Adding to 2021121002200 its reverse (22001211202), we get a palindrome (2043122213402).

The spelling of 2021121002200 in words is "two trillion, twenty-one billion, one hundred twenty-one million, two thousand, two hundred".