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2100212101020 = 2235116661477727
BaseRepresentation
bin11110100011111110011…
…001010110111110011100
321102210000101121001010010
4132203332121112332130
5233402213244213040
64244454002043220
7304510133210625
oct36437631267634
97383011531103
102100212101020
1173a770a84590
1229b050949510
13123083ca7077
1473917b62a4c
1539970b61e80
hex1e8fe656f9c

2100212101020 has 96 divisors (see below), whose sum is σ = 6416169854976. Its totient is φ = 509064825600.

The previous prime is 2100212100967. The next prime is 2100212101051. The reversal of 2100212101020 is 201012120012.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100212100987 and 2100212101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4157397 + ... + 4635123.

It is an arithmetic number, because the mean of its divisors is an integer number (66835102656).

Almost surely, 22100212101020 is an apocalyptic number.

2100212101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100212101020 is an abundant number, since it is smaller than the sum of its proper divisors (4315957753956).

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

2100212101020 is a wasteful number, since it uses less digits than its factorization.

2100212101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484411 (or 484409 counting only the distinct ones).

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

Adding to 2100212101020 its reverse (201012120012), we get a palindrome (2301224221032).

The spelling of 2100212101020 in words is "two trillion, one hundred billion, two hundred twelve million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 6661 13322 19983 26644 33305 39966 66610 73271 79932 99915 133220 146542 199830 219813 293084 366355 399660 439626 477727 732710 879252 955454 1099065 1433181 1465420 1910908 2198130 2388635 2866362 4396260 4777270 5254997 5732724 7165905 9554540 10509994 14331810 15764991 21019988 26274985 28663620 31529982 52549970 63059964 78824955 105099940 157649910 315299820 3182139547 6364279094 9546418641 12728558188 15910697735 19092837282 31821395470 35003535017 38185674564 47732093205 63642790940 70007070034 95464186410 105010605051 140014140068 175017675085 190928372820 210021210102 350035350170 420042420204 525053025255 700070700340 1050106050510 2100212101020