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1021002100112 = 241491512836243
BaseRepresentation
bin11101101101110000111…
…01111010110110010000
310121121101101120122122202
432312320131322312100
5113212003014200422
62101013014222332
7133523245441421
oct16667035726620
93547341518582
101021002100112
11364006082625
12145a636549a8
1375384467507
14375b9865648
151b85a47ab92
hexedb877ad90

1021002100112 has 40 divisors (see below), whose sum is σ = 2004657259200. Its totient is φ = 503716579200.

The previous prime is 1021002100109. The next prime is 1021002100123. The reversal of 1021002100112 is 2110012001201.

It is a super-3 number, since 3×10210021001123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1021002100093 and 1021002100102.

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 7 ways as a sum of consecutive naturals, for example, 1058138 + ... + 1778105.

It is an arithmetic number, because the mean of its divisors is an integer number (50116431480).

Almost surely, 21021002100112 is an apocalyptic number.

It is an amenable number.

1021002100112 is a deficient number, since it is larger than the sum of its proper divisors (983655159088).

1021002100112 is a wasteful number, since it uses less digits than its factorization.

1021002100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836551 (or 2836545 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1021002100112 its reverse (2110012001201), we get a palindrome (3131014101313).

The spelling of 1021002100112 in words is "one trillion, twenty-one billion, two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 149 151 298 302 596 604 1192 1208 2384 2416 22499 44998 89996 179992 359984 2836243 5672486 11344972 22689944 45379888 422600207 428272693 845200414 856545386 1690400828 1713090772 3380801656 3426181544 6761603312 6852363088 63812631257 127625262514 255250525028 510501050056 1021002100112