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2210121200021 = 7177313716311393
BaseRepresentation
bin100000001010010101011…
…111010011000110010101
321211021201010221202202112
4200022111133103012111
5242202312011400041
64411152103320405
7315450602143610
oct40122537230625
97737633852675
102210121200021
117823418883a9
122b8405150105
1313054b6c7ba7
1478d82c43177
153c754ca0deb
hex202957d3195

2210121200021 has 64 divisors (see below), whose sum is σ = 2747852149248. Its totient is φ = 1734832816128.

The previous prime is 2210121200009. The next prime is 2210121200039. The reversal of 2210121200021 is 1200021210122.

It is not a de Polignac number, because 2210121200021 - 210 = 2210121198997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2210121199969 and 2210121200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210121200051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193983701 + ... + 193995093.

It is an arithmetic number, because the mean of its divisors is an integer number (42935189832).

Almost surely, 22210121200021 is an apocalyptic number.

It is an amenable number.

2210121200021 is a deficient number, since it is larger than the sum of its proper divisors (537730949227).

2210121200021 is a wasteful number, since it uses less digits than its factorization.

2210121200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11790.

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

Adding to 2210121200021 its reverse (1200021210122), we get a palindrome (3410142410143).

It can be divided in two parts, 2210121 and 200021, that added together give a palindrome (2410142).

The spelling of 2210121200021 in words is "two trillion, two hundred ten billion, one hundred twenty-one million, two hundred thousand, twenty-one".

Divisors: 1 7 17 73 119 137 163 511 959 1141 1241 2329 2771 8687 10001 11393 11899 16303 19397 22331 70007 79751 83293 156317 170017 193681 202283 379627 831689 1190119 1355767 1415981 1560841 1630163 1857059 2657389 5821823 10925887 11411141 12999413 14138713 26534297 27712771 31570003 98970991 113941393 135565307 185740079 193989397 220990021 254417083 797589751 948957149 1780919581 1937003681 2304610219 4325090411 13559025767 16132271533 18572447059 30275632877 130007129413 315731600003 2210121200021