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102102002100111 = 31325111317921647
BaseRepresentation
bin10111001101110001111001…
…100100001110011110001111
3111101111212010002002221112110
4113031301321210032132033
5101340314400014200421
61001053002350435103
730335424536165346
oct2715617144163617
9441455102087473
10102102002100111
112a595241434552
12b550075b02a93
1344c823cc1ac70
141b2da985a6b5d
15bc0d92661a76
hex5cdc7990e78f

102102002100111 has 32 divisors (see below), whose sum is σ = 147205264647168. Its totient is φ = 62576076816000.

The previous prime is 102102002100071. The next prime is 102102002100139. The reversal of 102102002100111 is 111001200201201.

It is not a de Polignac number, because 102102002100111 - 217 = 102102001969039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102002100311) 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, 110321290 + ... + 111242936.

It is an arithmetic number, because the mean of its divisors is an integer number (4600164520224).

Almost surely, 2102102002100111 is an apocalyptic number.

102102002100111 is a deficient number, since it is larger than the sum of its proper divisors (45103262547057).

102102002100111 is a wasteful number, since it uses less digits than its factorization.

102102002100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933231.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102102002100111 its reverse (111001200201201), we get a palindrome (213103202301312).

The spelling of 102102002100111 in words is "one hundred two trillion, one hundred two billion, two million, one hundred thousand, one hundred eleven".

Divisors: 1 3 13 39 251 753 3263 9789 11317 33951 147121 441363 921647 2764941 2840567 8521701 11981411 35944233 36927371 110782113 231333397 694000191 3007334161 9022002483 10430279099 31290837297 135593628287 406780884861 2618000053849 7854000161547 34034000700037 102102002100111