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200102201212100 = 225211216537372001
BaseRepresentation
bin101101011111110111101100…
…100111110011110011000100
3222020111120202110020120011012
4231133313230213303303010
5202211433302002241400
61545325403204101352
760101623041301145
oct5537675447636304
9866446673216135
10200102201212100
1158838959a26700
121a539192394858
138786730b35895
14375add9159acc
1518201b6684d35
hexb5fdec9f3cc4

200102201212100 has 54 divisors (see below), whose sum is σ = 477285093349722. Its totient is φ = 72764436800000.

The previous prime is 200102201212031. The next prime is 200102201212169. The reversal of 200102201212100 is 1212102201002.

200102201212100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200102201212031) and next prime (200102201212169).

It can be written as a sum of positive squares in 3 ways, for example, as 55745098816 + 200046456113284 = 236104^2 + 14143778^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8268673901 + ... + 8268698100.

Almost surely, 2200102201212100 is an apocalyptic number.

200102201212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200102201212100 is an abundant number, since it is smaller than the sum of its proper divisors (277182892137622).

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

200102201212100 is a wasteful number, since it uses less digits than its factorization.

200102201212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16537372037 (or 16537372019 counting only the distinct ones).

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

Adding to 200102201212100 its reverse (1212102201002), we get a palindrome (201314303413102).

The spelling of 200102201212100 in words is "two hundred trillion, one hundred two billion, two hundred one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 16537372001 33074744002 66149488004 82686860005 165373720010 181911092011 330747440020 363822184022 413434300025 727644368044 826868600050 909555460055 1653737200100 1819110920110 2001022012121 3638221840220 4002044024242 4547777300275 8004088048484 9095554600550 10005110060605 18191109201100 20010220121210 40020440242420 50025550303025 100051100606050 200102201212100