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100210210222001 = 11174720815478989
BaseRepresentation
bin10110110010010000000001…
…111110111010111110110001
3111010211000001211221020021112
4112302100001332322332301
5101113321002304101001
6553043533545203105
730051643266431315
oct2662200176727661
9433730054836245
10100210210222001
1129a25a03217280
12b2a54b0790495
1343bba228784a9
141aa62b2d39b45
15b8ba6e2c9cbb
hex5b2401fbafb1

100210210222001 has 32 divisors (see below), whose sum is σ = 118270442442240. Its totient is φ = 83876731494400.

The previous prime is 100210210221971. The next prime is 100210210222033. The reversal of 100210210222001 is 100222012012001.

It is a cyclic number.

It is not a de Polignac number, because 100210210222001 - 214 = 100210210205617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100210210222051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15550415 + ... + 21029403.

It is an arithmetic number, because the mean of its divisors is an integer number (3695951326320).

Almost surely, 2100210210222001 is an apocalyptic number.

100210210222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210210222001 is a deficient number, since it is larger than the sum of its proper divisors (18060232220239).

100210210222001 is a wasteful number, since it uses less digits than its factorization.

100210210222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481145.

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

Adding to 100210210222001 its reverse (100222012012001), we get a palindrome (200432222234002).

The spelling of 100210210222001 in words is "one hundred trillion, two hundred ten billion, two hundred ten million, two hundred twenty-two thousand, one".

Divisors: 1 11 17 47 187 517 799 2081 8789 22891 35377 97807 389147 1075877 1662719 5478989 18289909 60268879 93142813 257512483 1024570943 2832637313 4377712211 11401776109 48154834321 125419537199 193830193853 535883477123 2132132132383 5894718248353 9110019111091 100210210222001