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2122220102100 = 2235271010581001
BaseRepresentation
bin11110111000011110001…
…011001110000111010100
321111212211011112100000020
4132320132023032013110
5234232301321231400
64302533501545140
7306216410142240
oct36703613160724
97455734470006
102122220102100
11749034a1552a
122a33732751b0
1312518069ab07
1474a049c7420
153a30cd212a0
hex1ee1e2ce1d4

2122220102100 has 72 divisors (see below), whose sum is σ = 7017474477888. Its totient is φ = 485078880000.

The previous prime is 2122220102077. The next prime is 2122220102111. The reversal of 2122220102100 is 12010222212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122220102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505288401 + ... + 505292600.

It is an arithmetic number, because the mean of its divisors is an integer number (97464923304).

Almost surely, 22122220102100 is an apocalyptic number.

2122220102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122220102100 is an abundant number, since it is smaller than the sum of its proper divisors (4895254375788).

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

2122220102100 is a wasteful number, since it uses less digits than its factorization.

2122220102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010581025 (or 1010581018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2122220102100 its reverse (12010222212), we get a palindrome (2134230324312).

The spelling of 2122220102100 in words is "two trillion, one hundred twenty-two billion, two hundred twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 1010581001 2021162002 3031743003 4042324004 5052905005 6063486006 7074067007 10105810010 12126972012 14148134014 15158715015 20211620020 21222201021 25264525025 28296268028 30317430030 35370335035 42444402042 50529050050 60634860060 70740670070 75793575075 84888804084 101058100100 106111005105 141481340140 151587150150 176851675175 212222010210 303174300300 353703350350 424444020420 530555025525 707406700700 1061110051050 2122220102100