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12102021000201 = 31121011217271231
BaseRepresentation
bin1011000000011011100010…
…1010011010110000001001
31120211221102122120220010110
42300012320222122300021
53041234414334001301
641423331450104533
72356225235135616
oct260067052326011
946757378526113
1012102021000201
1139464903a0300
12143555241b149
1369a2a5b1a122
142dba5320350d
1515ec047ba0d6
hexb01b8a9ac09

12102021000201 has 48 divisors (see below), whose sum is σ = 17926686296064. Its totient is φ = 7255944960000.

The previous prime is 12102021000109. The next prime is 12102021000211. The reversal of 12102021000201 is 10200012020121.

It is not a de Polignac number, because 12102021000201 - 214 = 12102020983817 is a prime.

It is a super-3 number, since 3×121020210002013 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12102021000211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44483256 + ... + 44754486.

It is an arithmetic number, because the mean of its divisors is an integer number (373472631168).

Almost surely, 212102021000201 is an apocalyptic number.

12102021000201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102021000201 is a deficient number, since it is larger than the sum of its proper divisors (5824665295863).

12102021000201 is a wasteful number, since it uses less digits than its factorization.

12102021000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272574 (or 272563 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102021000201 its reverse (10200012020121), we get a palindrome (22302033020322).

The spelling of 12102021000201 in words is "twelve trillion, one hundred two billion, twenty-one million, two hundred one", and thus it is an aban number.

Divisors: 1 3 11 33 101 121 303 363 1111 1217 3333 3651 12221 13387 36663 40161 122917 147257 271231 368751 441771 813693 1352087 2983541 4056261 8950623 14872957 27394331 32818951 44618871 82182993 98456853 301337641 330088127 904012923 990264381 3314714051 3630969397 9944142153 10892908191 33338900827 39940663367 100016702481 119821990101 366727909097 1100183727291 4034007000067 12102021000201