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101020121001111 = 31331412797728627
BaseRepresentation
bin10110111110000010010100…
…011011010110110010010111
3111020200102120220221201100010
4112332002110123112302113
5101220103201434013421
6554504000344051303
730164314525446144
oct2676022433266227
9436612526851303
10101020121001111
112a208435797004
12b3b6462163b33
13444a205ba3bb0
141ad358563b3cb
15ba2b72704076
hex5be0946d6c97

101020121001111 has 64 divisors (see below), whose sum is σ = 153440802902016. Its totient is φ = 58672462924800.

The previous prime is 101020121001097. The next prime is 101020121001143. The reversal of 101020121001111 is 111100121020101.

It is a de Polignac number, because none of the positive numbers 2k-101020121001111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020121001161) 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, 138280180 + ... + 139008806.

It is an arithmetic number, because the mean of its divisors is an integer number (2397512545344).

Almost surely, 2101020121001111 is an apocalyptic number.

101020121001111 is a deficient number, since it is larger than the sum of its proper divisors (52420681900905).

101020121001111 is a wasteful number, since it uses less digits than its factorization.

101020121001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731512.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101020121001111 its reverse (111100121020101), we get a palindrome (212120242021212).

The spelling of 101020121001111 in words is "one hundred one trillion, twenty billion, one hundred twenty-one million, one thousand, one hundred eleven".

Divisors: 1 3 13 31 39 41 93 123 403 533 1209 1271 1599 2797 3813 8391 16523 36361 49569 86707 109083 114677 260121 344031 728627 1127191 1490801 2185881 3381573 3554987 4472403 9472151 10664961 22587437 28416453 29873707 46214831 67762311 89621121 138644493 293636681 388358191 880910043 926084917 1165074573 2037969719 2778254751 6113909157 12039103921 26493606347 36117311763 63177061289 79480819041 83556758479 189531183867 250670275437 821301796757 1086237860227 2463905390271 2590259512849 3258713580681 7770778538547 33673373667037 101020121001111