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101101001020012 = 227149379269323743
BaseRepresentation
bin10110111111001101101001…
…010000001001001001101100
3111020222011100120222101022201
4112333031221100021021230
5101222414322230120022
6555005054135351244
730203210024326420
oct2677155120111154
9436864316871281
10101101001020012
112a23976a418334
12b40a074822524
134454a25427746
141ad7459210b80
15ba4d080a4127
hex5bf36940926c

101101001020012 has 96 divisors (see below), whose sum is σ = 204180544512000. Its totient is φ = 42906897960192.

The previous prime is 101101001020001. The next prime is 101101001020043. The reversal of 101101001020012 is 210020100101101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4258127413 + ... + 4258151155.

It is an arithmetic number, because the mean of its divisors is an integer number (2126880672000).

Almost surely, 2101101001020012 is an apocalyptic number.

It is an amenable number.

101101001020012 is an abundant number, since it is smaller than the sum of its proper divisors (103079543491988).

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

101101001020012 is a wasteful number, since it uses less digits than its factorization.

101101001020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26975 (or 26973 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101001020012 its reverse (210020100101101), we get a palindrome (311121101121113).

The spelling of 101101001020012 in words is "one hundred one trillion, one hundred one billion, one million, twenty thousand, twelve".

Divisors: 1 2 4 7 14 28 149 298 379 596 758 1043 1516 2086 2653 2693 4172 5306 5386 10612 10772 18851 23743 37702 47486 56471 75404 94972 112942 166201 225884 332402 395297 401257 664804 790594 802514 1020647 1581188 1605028 2041294 2808799 3537707 4082588 5617598 7075414 7144529 8998597 11235196 14150828 14289058 17997194 24763949 28578116 35994388 49527898 62990179 63939899 99055796 125980358 127879798 152076403 251960716 255759596 304152806 447579293 608305612 895158586 1064534821 1340790953 1790317172 2129069642 2681581906 4258139284 5363163812 9385536671 9527044951 18771073342 19054089902 24233221721 37542146684 38108179804 48466443442 66689314657 96932886884 133378629314 169632552047 266757258628 339265104094 678530208188 3610750036429 7221500072858 14443000145716 25275250255003 50550500510006 101101001020012