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102022010211121 = 71113416812445241
BaseRepresentation
bin10111001100100111011001…
…101011011000101100110001
3111101020012122022020221202021
4113030213121223120230301
5101333012034103223441
61000552133042551441
730326563343305120
oct2714473153305461
9441205568227667
10102022010211121
112a564323068390
12b538670968581
1344c0832695c80
141b29c6a93dab7
15bbdc5ec463d1
hex5cc9d9ad8b31

102022010211121 has 32 divisors (see below), whose sum is σ = 136983943547136. Its totient is φ = 73380674304000.

The previous prime is 102022010211119. The next prime is 102022010211139. The reversal of 102022010211121 is 121112010220201.

It is not a de Polignac number, because 102022010211121 - 21 = 102022010211119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102022010211095 and 102022010211104.

It is not an unprimeable number, because it can be changed into a prime (102022010221121) 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, 40500061 + ... + 42945301.

It is an arithmetic number, because the mean of its divisors is an integer number (4280748235848).

Almost surely, 2102022010211121 is an apocalyptic number.

102022010211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102022010211121 is a deficient number, since it is larger than the sum of its proper divisors (34961933336015).

102022010211121 is a wasteful number, since it uses less digits than its factorization.

102022010211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486953.

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

Adding to 102022010211121 its reverse (121112010220201), we get a palindrome (223134020431322).

The spelling of 102022010211121 in words is "one hundred two trillion, twenty-two billion, ten million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 41681 291767 458491 541853 2445241 3209437 3792971 5960383 17116687 26897651 31788133 41722681 188283557 222516931 349669463 2447686241 101920090121 713440630847 1121120991331 1324961171573 7847846939317 9274728201011 14574572887303 102022010211121