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102202121022201 = 3419916093940631
BaseRepresentation
bin10111001111001111001001…
…000111100110101011111001
3111101212102112112112011020000
4113033033021013212223321
5101343434420440202301
61001211001202423213
730345600556035444
oct2717171107465371
9441772475464200
10102202121022201
112a623748a05572
12b567557661b09
134504807267ab5
141b3487534265b
15bc37a203c786
hex5cf3c91e6af9

102202121022201 has 40 divisors (see below), whose sum is σ = 153534903984000. Its totient is φ = 67750211263680.

The previous prime is 102202121022179. The next prime is 102202121022217. The reversal of 102202121022201 is 102220121202201.

It is a happy number.

102202121022201 is a `hidden beast` number, since 1 + 0 + 220 + 212 + 10 + 2 + 220 + 1 = 666.

It is not a de Polignac number, because 102202121022201 - 27 = 102202121022073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202121022601) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23965156 + ... + 27905786.

It is an arithmetic number, because the mean of its divisors is an integer number (3838372599600).

Almost surely, 2102202121022201 is an apocalyptic number.

It is an amenable number.

102202121022201 is a deficient number, since it is larger than the sum of its proper divisors (51332782961799).

102202121022201 is a wasteful number, since it uses less digits than its factorization.

102202121022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942451 (or 3942442 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202121022201 its reverse (102220121202201), we get a palindrome (204422242224402).

The spelling of 102202121022201 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-one million, twenty-two thousand, two hundred one".

Divisors: 1 3 9 27 81 199 597 1609 1791 4827 5373 14481 16119 43443 130329 320191 960573 2881719 3940631 8645157 11821893 25935471 35465679 106397037 319191111 784185569 2352556707 6340475279 7057670121 19021425837 21173010363 57064277511 63519031089 171192832533 513578497599 1261754580521 3785263741563 11355791224689 34067373674067 102202121022201