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201222101021100 = 223524671436274811
BaseRepresentation
bin101101110000001010101011…
…110110100011000110101100
3222101110122102012022100220220
4231300022223312203012230
5202333310330330133400
61551544053531411340
760245550150513435
oct5560125366430654
9871418365270826
10201222101021100
115912a8a51a4735
121a69a2365b3b50
138838216609063
1437992b74a848c
15183e3ae1b07a0
hexb702abda31ac

201222101021100 has 72 divisors (see below), whose sum is σ = 583449299229888. Its totient is φ = 53544324916800.

The previous prime is 201222101021069. The next prime is 201222101021113. The reversal of 201222101021100 is 1120101222102.

201222101021100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 201222101021100.

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, 717997306 + ... + 718277505.

It is an arithmetic number, because the mean of its divisors is an integer number (8103462489304).

Almost surely, 2201222101021100 is an apocalyptic number.

201222101021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222101021100 is an abundant number, since it is smaller than the sum of its proper divisors (382227198208788).

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

201222101021100 is a wasteful number, since it uses less digits than its factorization.

201222101021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436275295 (or 1436275288 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201222101021100 its reverse (1120101222102), we get a palindrome (202342202243202).

The spelling of 201222101021100 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred one million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 467 934 1401 1868 2335 2802 4670 5604 7005 9340 11675 14010 23350 28020 35025 46700 70050 140100 1436274811 2872549622 4308824433 5745099244 7181374055 8617648866 14362748110 17235297732 21544122165 28725496220 35906870275 43088244330 71813740550 86176488660 107720610825 143627481100 215441221650 430882443300 670740336737 1341480673474 2012221010211 2682961346948 3353701683685 4024442020422 6707403367370 8048884040844 10061105051055 13414806734740 16768508418425 20122210102110 33537016836850 40244420204220 50305525255275 67074033673700 100611050510550 201222101021100