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210121212100 = 225217123600713
BaseRepresentation
bin1100001110110000110…
…0110100000011000100
3202002100201010112100211
43003230030310003010
511420312012241400
6240310042445204
721115666556002
oct3035414640304
9662321115324
10210121212100
1181125a456a8
1234881203804
1316a78169187
14a254397a72
1556ebcc6dba
hex30ec3340c4

210121212100 has 36 divisors (see below), whose sum is σ = 482784388884. Its totient is φ = 79104455680.

The previous prime is 210121212071. The next prime is 210121212101. The reversal of 210121212100 is 1212121012.

It can be written as a sum of positive squares in 6 ways, for example, as 2389449924 + 207731762176 = 48882^2 + 455776^2 .

It is not an unprimeable number, because it can be changed into a prime (210121212101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61798657 + ... + 61802056.

It is an arithmetic number, because the mean of its divisors is an integer number (13410677469).

Almost surely, 2210121212100 is an apocalyptic number.

210121212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210121212100 is an abundant number, since it is smaller than the sum of its proper divisors (272663176784).

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

210121212100 is a wasteful number, since it uses less digits than its factorization.

210121212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123600744 (or 123600737 counting only the distinct ones).

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

Adding to 210121212100 its reverse (1212121012), we get a palindrome (211333333112).

The spelling of 210121212100 in words is "two hundred ten billion, one hundred twenty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 123600713 247201426 494402852 618003565 1236007130 2101212121 2472014260 3090017825 4202424242 6180035650 8404848484 10506060605 12360071300 21012121210 42024242420 52530303025 105060606050 210121212100