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102201210100212 = 22329293681638219
BaseRepresentation
bin10111001111001110010010…
…110100101101100111110100
3111101212100012001110112011120
4113033032102310231213310
5101343431034241201322
61001210330542303540
730345536155240266
oct2717162264554764
9441770161415146
10102201210100212
112a6233207a3383
12b567342587bb0
1345046c0618cc2
141b347ca381b36
15bc374c0a4a5c
hex5cf392d2d9f4

102201210100212 has 24 divisors (see below), whose sum is σ = 246692576104800. Its totient is φ = 32892343480416.

The previous prime is 102201210100181. The next prime is 102201210100237. The reversal of 102201210100212 is 212001012102201.

It is a junction number, because it is equal to n+sod(n) for n = 102201210100191 and 102201210100200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146840818762 + ... + 146840819457.

It is an arithmetic number, because the mean of its divisors is an integer number (10278857337700).

Almost surely, 2102201210100212 is an apocalyptic number.

102201210100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102201210100212 is an abundant number, since it is smaller than the sum of its proper divisors (144491366004588).

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

102201210100212 is a wasteful number, since it uses less digits than its factorization.

102201210100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293681638255 (or 293681638253 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102201210100212 its reverse (212001012102201), we get a palindrome (314202222202413).

The spelling of 102201210100212 in words is "one hundred two trillion, two hundred one billion, two hundred ten million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 293681638219 587363276438 881044914657 1174726552876 1762089829314 3524179658628 8516767508351 17033535016702 25550302525053 34067070033404 51100605050106 102201210100212