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102100200101020 = 22511242190165331
BaseRepresentation
bin10111001101110000001110…
…001010001001010010011100
3111101111200110111022220111101
4113031300032022021102130
5101340302202211213040
61001052103455402444
730335332065353602
oct2715601612112234
9441450414286441
10102100200101020
112a5944a7234a00
12b54b852523424
1344c80137ab004
141b2d96712d872
15bc0cd936109a
hex5cdc0e28949c

102100200101020 has 36 divisors (see below), whose sum is σ = 235674263544552. Its totient is φ = 37127345490400.

The previous prime is 102100200100901. The next prime is 102100200101041. The reversal of 102100200101020 is 20101002001201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102100200100988 and 102100200101006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21095080246 + ... + 21095085085.

It is an arithmetic number, because the mean of its divisors is an integer number (6546507320682).

Almost surely, 2102100200101020 is an apocalyptic number.

102100200101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100200101020 is an abundant number, since it is smaller than the sum of its proper divisors (133574063443532).

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

102100200101020 is a wasteful number, since it uses less digits than its factorization.

102100200101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42190165362 (or 42190165349 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100200101020 its reverse (20101002001201), we get a palindrome (122201202102221).

The spelling of 102100200101020 in words is "one hundred two trillion, one hundred billion, two hundred million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 42190165331 84380330662 168760661324 210950826655 421901653310 464091818641 843803306620 928183637282 1856367274564 2320459093205 4640918186410 5105010005051 9281836372820 10210020010102 20420040020204 25525050025255 51050100050510 102100200101020