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212010220120101 = 313831311393596897
BaseRepresentation
bin110000001101001001111001…
…110110111110100000100101
31000210122222102202200001111120
4300031021321312332200211
5210242033412322320401
62030524052304124153
762441142616035534
oct6015117166764045
91023588382601446
10212010220120101
116160a0361876a7
121b941001906659
13913b62a1491c0
143a4d4c6aa431b
151979d1434d836
hexc0d279dbe825

212010220120101 has 64 divisors (see below), whose sum is σ = 312678055388160. Its totient is φ = 126991722424320.

The previous prime is 212010220120021. The next prime is 212010220120121. The reversal of 212010220120101 is 101021022010212.

212010220120101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212010220120101 - 210 = 212010220119077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010220120121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57144085 + ... + 60740981.

It is an arithmetic number, because the mean of its divisors is an integer number (4885594615440).

Almost surely, 2212010220120101 is an apocalyptic number.

It is an amenable number.

212010220120101 is a deficient number, since it is larger than the sum of its proper divisors (100667835268059).

212010220120101 is a wasteful number, since it uses less digits than its factorization.

212010220120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597266.

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

Adding to 212010220120101 its reverse (101021022010212), we get a palindrome (313031242130313).

The spelling of 212010220120101 in words is "two hundred twelve trillion, ten billion, two hundred twenty million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 13 39 83 131 139 249 393 417 1079 1703 1807 3237 5109 5421 10873 11537 18209 32619 34611 54627 141349 149981 236717 424047 449943 710151 1511347 3596897 4534041 10790691 19647511 46759661 58942533 140278983 298542451 471193507 499968683 895627353 1413580521 1499906049 3881051863 6125515591 6499592879 11643155589 18376546773 19498778637 39109061081 41497400689 65495897473 117327183243 124492202067 196487692419 508417794053 539466208957 851446667149 1525253382159 1618398626871 2554340001447 5436159490259 16308478470777 70670073373367 212010220120101