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102021021201012 = 223171783750737363
BaseRepresentation
bin10111001100100110011110…
…101110100111001001110100
3111101020010002101021000221020
4113030212132232213021310
5101333003022411413022
61000551450553021140
730326530003665534
oct2714463656471164
9441203071230836
10102021021201012
112a563965870461
12b5384356b47b0
1344c07058060a4
141b29bb54534c4
15bbdc02ed635c
hex5cc99eba7274

102021021201012 has 96 divisors (see below), whose sum is σ = 252233643820032. Its totient is φ = 31983526688256.

The previous prime is 102021021200977. The next prime is 102021021201031. The reversal of 102021021201012 is 210102120120201.

It is a junction number, because it is equal to n+sod(n) for n = 102021021200982 and 102021021201000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730517443 + ... + 2730554805.

It is an arithmetic number, because the mean of its divisors is an integer number (2627433789792).

Almost surely, 2102021021201012 is an apocalyptic number.

102021021201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102021021201012 is an abundant number, since it is smaller than the sum of its proper divisors (150212622619020).

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

102021021201012 is a wasteful number, since it uses less digits than its factorization.

102021021201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46677 (or 46675 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102021021201012 its reverse (210102120120201), we get a palindrome (312123141321213).

The spelling of 102021021201012 in words is "one hundred two trillion, twenty-one billion, twenty-one million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 1783 3566 5349 7132 7507 10698 15014 21396 22521 30028 30311 37363 45042 60622 74726 90084 90933 112089 121244 127619 149452 181866 224178 255238 363732 382857 448356 510476 635171 765714 1270342 1531428 1905513 2540684 3811026 7622052 13384981 26769962 40154943 53539924 66618229 80309886 133236458 160619772 199854687 227544677 266472916 280484041 399709374 455089354 560968082 682634031 799418748 841452123 910178708 1121936164 1132509893 1365268062 1682904246 2265019786 2730536124 3365808492 3397529679 4530039572 4768228697 6795059358 9536457394 13590118716 14304686091 19072914788 28609372182 57218744364 500103045103 1000206090206 1500309135309 2000412180412 3000618270618 6001236541236 8501751766751 17003503533502 25505255300253 34007007067004 51010510600506 102021021201012