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10021000100111 = 7111353839225133
BaseRepresentation
bin1001000111010011001000…
…1001101011100100001111
31022110222221201121212111222
42101310302021223210033
52303141002011200421
633151330042033555
72052664503300050
oct221646211534417
938428851555458
1010021000100111
113213978345060
12115a1787a88bb
13578c8caa6a70
1426903a18a727
15125a088aecab
hex91d3226b90f

10021000100111 has 64 divisors (see below), whose sum is σ = 13725033154560. Its totient is φ = 7063453463040.

The previous prime is 10021000100099. The next prime is 10021000100203. The reversal of 10021000100111 is 11100100012001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-10021000100111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021000100011) 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, 44398901 + ... + 44624033.

It is an arithmetic number, because the mean of its divisors is an integer number (214453643040).

Almost surely, 210021000100111 is an apocalyptic number.

10021000100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10021000100111 is a deficient number, since it is larger than the sum of its proper divisors (3704033054449).

10021000100111 is a wasteful number, since it uses less digits than its factorization.

10021000100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226056.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10021000100111 its reverse (11100100012001), we get a palindrome (21121100112112).

The spelling of 10021000100111 in words is "ten trillion, twenty-one billion, one hundred thousand, one hundred eleven".

Divisors: 1 7 11 13 53 77 91 143 371 583 689 839 1001 4081 4823 5873 7579 9229 10907 44467 53053 64603 76349 119977 225133 311269 489137 578071 839839 1575931 2476463 2926729 3423959 4046497 6358781 11932049 17335241 20487103 32194019 44511467 83524343 131252539 155116637 188886587 225358133 918767773 1085816459 1322206109 1706283007 2077752457 2455525631 10010989111 11943981049 14544267199 17188679417 27010781941 70076923777 110120880221 130142858443 189075473587 770846161547 911000009101 1431571442873 10021000100111