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2021200211100 = 2235272619222127
BaseRepresentation
bin11101011010011000111…
…010111010110010011100
321011020001220210011022210
4131122120322322302130
5231103404223223400
64144305423040420
7266012140216500
oct35323072726234
97136056704283
102021200211100
1170a205910204
1228787ba40110
131187a17a8595
146db8031c300
15378992c6950
hex1d698ebac9c

2021200211100 has 216 divisors, whose sum is σ = 6813803055360. Its totient is φ = 461240196480.

The previous prime is 2021200211083. The next prime is 2021200211137. The reversal of 2021200211100 is 11120021202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8988237 + ... + 9210363.

Almost surely, 22021200211100 is an apocalyptic number.

2021200211100 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 2021200211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406901527680).

2021200211100 is an abundant number, since it is smaller than the sum of its proper divisors (4792602844260).

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

2021200211100 is a wasteful number, since it uses less digits than its factorization.

2021200211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222777 (or 222763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2021200211100 its reverse (11120021202), we get a palindrome (2032320232302).

The spelling of 2021200211100 in words is "two trillion, twenty-one billion, two hundred million, two hundred eleven thousand, one hundred".