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221012100202101 = 31347613795215363
BaseRepresentation
bin110010010000001001100011…
…101110010011111001110101
31001222112112212021011221111120
4302100021203232103321311
5212432030240122431401
62102015320203254153
764360411606165545
oct6220114356237165
91058475767157446
10221012100202101
116446a7838771aa
122095576121a359
139642475687740
143c8108534b325
151a84072b01836
hexc90263b93e75

221012100202101 has 64 divisors (see below), whose sum is σ = 330285247057920. Its totient is φ = 130585988816640.

The previous prime is 221012100202097. The next prime is 221012100202111. The reversal of 221012100202101 is 101202001210122.

221012100202101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221012100202101 - 22 = 221012100202097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221012100202111) 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, 39769446 + ... + 44984808.

It is an arithmetic number, because the mean of its divisors is an integer number (5160706985280).

Almost surely, 2221012100202101 is an apocalyptic number.

It is an amenable number.

221012100202101 is a deficient number, since it is larger than the sum of its proper divisors (109273146855819).

221012100202101 is a wasteful number, since it uses less digits than its factorization.

221012100202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215866.

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

Adding to 221012100202101 its reverse (101202001210122), we get a palindrome (322214101412223).

The spelling of 221012100202101 in words is "two hundred twenty-one trillion, twelve billion, one hundred million, two hundred two thousand, one hundred one".

Divisors: 1 3 13 39 47 61 141 183 379 611 793 1137 1833 2379 2867 4927 8601 14781 17813 23119 37271 53439 69357 111813 231569 300547 694707 901641 1086593 3259779 5215363 14125709 15646089 42377127 67799719 203399157 245122061 318137143 735366183 954411429 1976622577 3186586793 4135782859 5929867731 9559760379 12407348577 14952445721 25696093501 44857337163 77088280503 92901261119 120573977197 194381794373 278703783357 361721931591 583145383119 1207716394547 1567461703561 3623149183641 4702385110683 5666976928259 17000930784777 73670700067367 221012100202101