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102212002111221 = 3327138935910317
BaseRepresentation
bin10111001111011000010110…
…000100111101111011110101
3111101220101001011112111011000
4113033120112010331323311
5101344120140020024341
61001215313500433513
730346400460643242
oct2717302604757365
9441811034474130
10102212002111221
112a627959591a42
12b569454848899
13450572041cc32
141b351317905c9
15bc3b7e75c8b6
hex5cf61613def5

102212002111221 has 32 divisors (see below), whose sum is σ = 152374661337600. Its totient is φ = 67715364674880.

The previous prime is 102212002111201. The next prime is 102212002111223. The reversal of 102212002111221 is 122111200212201.

102212002111221 is a `hidden beast` number, since 1 + 0 + 221 + 200 + 21 + 1 + 1 + 221 = 666.

It is not a de Polignac number, because 102212002111221 - 25 = 102212002111189 is a prime.

It is a super-2 number, since 2×1022120021112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212002111194 and 102212002111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212002111223) 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, 15108846 + ... + 20801471.

It is an arithmetic number, because the mean of its divisors is an integer number (4761708166800).

Almost surely, 2102212002111221 is an apocalyptic number.

It is an amenable number.

102212002111221 is a deficient number, since it is larger than the sum of its proper divisors (50162659226379).

102212002111221 is a wasteful number, since it uses less digits than its factorization.

102212002111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35910986 (or 35910980 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102212002111221 its reverse (122111200212201), we get a palindrome (224323202323422).

The spelling of 102212002111221 in words is "one hundred two trillion, two hundred twelve billion, two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 27 271 389 813 1167 2439 3501 7317 10503 105419 316257 948771 2846313 35910317 107730951 323192853 969578559 9731695907 13969113313 29195087721 41907339939 87585263163 125722019817 262755789489 377166059451 3785629707823 11356889123469 34070667370407 102212002111221