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202100211001221 = 313107174145676091
BaseRepresentation
bin101101111100111100011111…
…010010010010011110000101
3222111120120222012011020001020
4231330330133102102132011
5202442202213004014341
61553455315532021353
760366154426265151
oct5574743722223605
9874516865136036
10202100211001221
1159439244406605
121a80045b901859
13889cc77c6c480
1437c99b957c061
151857154a85566
hexb7cf1f492785

202100211001221 has 64 divisors (see below), whose sum is σ = 293187819165696. Its totient is φ = 123089088326400.

The previous prime is 202100211001207. The next prime is 202100211001279. The reversal of 202100211001221 is 122100112001202.

It is not a de Polignac number, because 202100211001221 - 211 = 202100210999173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202100211001221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100211001021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33180133386 + ... + 33180139476.

It is an arithmetic number, because the mean of its divisors is an integer number (4581059674464).

Almost surely, 2202100211001221 is an apocalyptic number.

It is an amenable number.

202100211001221 is a deficient number, since it is larger than the sum of its proper divisors (91087608164475).

202100211001221 is a wasteful number, since it uses less digits than its factorization.

202100211001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12522.

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

Adding to 202100211001221 its reverse (122100112001202), we get a palindrome (324200323002423).

The spelling of 202100211001221 in words is "two hundred two trillion, one hundred billion, two hundred eleven million, one thousand, two hundred twenty-one".

Divisors: 1 3 13 39 107 321 1391 1741 4173 4567 5223 6091 13701 18273 22633 59371 67899 79183 178113 186287 237549 488669 558861 651737 1466007 1955211 2421731 6352697 7265193 7951147 8472581 10604431 19058091 23853441 25417743 27817597 31813293 83452791 103364911 137857603 310094733 361628761 413572809 850772729 1084886283 1134674117 2552318187 2976482879 3404022351 8929448637 11060045477 14750763521 33180136431 38694277427 44252290563 48430436377 116082832281 145291309131 629595672901 1888787018703 5182056692339 15546170077017 67366737000407 202100211001221