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102021002212122 = 23371363431979543
BaseRepresentation
bin10111001100100110011101…
…100110001011001100011010
3111101020010001001112022002000
4113030212131212023030122
5101333003003031241442
61000551445034021430
730326526353410410
oct2714463546131432
9441203031468060
10102021002212122
112a563956080864
12b53842b277876
1344c07018b7c66
141b29bb2b0d2b0
15bbdc014d4d4c
hex5cc99d98b31a

102021002212122 has 64 divisors (see below), whose sum is σ = 259102989250560. Its totient is φ = 29148629259312.

The previous prime is 102021002212111. The next prime is 102021002212127. The reversal of 102021002212122 is 221212200120201.

It is a happy number.

102021002212122 is a `hidden beast` number, since 1 + 0 + 20 + 210 + 0 + 221 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102021002212095 and 102021002212104.

It is not an unprimeable number, because it can be changed into a prime (102021002212127) 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, 50547883 + ... + 52527425.

It is an arithmetic number, because the mean of its divisors is an integer number (4048484207040).

Almost surely, 2102021002212122 is an apocalyptic number.

102021002212122 is an abundant number, since it is smaller than the sum of its proper divisors (157081987038438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102021002212122 is a wasteful number, since it uses less digits than its factorization.

102021002212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115904 (or 2115898 counting only the distinct ones).

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

Adding to 102021002212122 its reverse (221212200120201), we get a palindrome (323233202332323).

The spelling of 102021002212122 in words is "one hundred two trillion, twenty-one billion, two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 136343 272686 409029 818058 954401 1227087 1908802 1979543 2454174 2863203 3681261 3959086 5726406 5938629 7362522 8589609 11877258 13856801 17179218 17815887 25768827 27713602 35631774 41570403 51537654 53447661 83140806 106895322 124711209 249422418 374133627 748267254 269896831249 539793662498 809690493747 1619380987494 1889277818743 2429071481241 3778555637486 4858142962482 5667833456229 7287214443723 11335666912458 14574428887446 17003500368687 34007000737374 51010501106061 102021002212122