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102202111001221 = 71110147269278017
BaseRepresentation
bin10111001111001111001000…
…100001011000001010000101
3111101212102111211200001000121
4113033033020201120022011
5101343434410404014341
61001211000203541541
730345600404620660
oct2717171041301205
9441772454601017
10102202111001221
112a623743290670
12b56755422a8b1
13450480516981a
141b34873c946d7
15bc37a120d4d1
hex5cf3c8858285

102202111001221 has 32 divisors (see below), whose sum is σ = 128685591141120. Its totient is φ = 78847561728000.

The previous prime is 102202111001197. The next prime is 102202111001279. The reversal of 102202111001221 is 122100111202201.

It is not a de Polignac number, because 102202111001221 - 211 = 102202110999173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102202111001195 and 102202111001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202111001281) 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, 367472005 + ... + 367750021.

It is an arithmetic number, because the mean of its divisors is an integer number (4021424723160).

Almost surely, 2102202111001221 is an apocalyptic number.

102202111001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202111001221 is a deficient number, since it is larger than the sum of its proper divisors (26483480139899).

102202111001221 is a wasteful number, since it uses less digits than its factorization.

102202111001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325405.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102202111001221 its reverse (122100111202201), we get a palindrome (224302222203422).

The spelling of 102202111001221 in words is "one hundred two trillion, two hundred two billion, one hundred eleven million, one thousand, two hundred twenty-one".

Divisors: 1 7 11 77 101 707 1111 7777 47269 278017 330883 519959 1946119 3058187 3639713 4774169 21407309 28079717 33419183 52515859 196558019 308876887 367611013 2162138209 13141585573 91991099011 144557441303 1011902089121 1327300142873 9291101000111 14600301571603 102202111001221