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2101211222121 = 32113533309583
BaseRepresentation
bin11110100100111001111…
…100101101000001101001
321102212121000121122121100
4132210321330231001221
5233411240033101441
64245141052432013
7304543654461264
oct36447174550151
97385530548540
102101211222121
11740133a58000
1229b28b478609
131231b2c9719b
14739b0721cdb
15399cd71ccb6
hex1e939f2d069

2101211222121 has 48 divisors (see below), whose sum is σ = 3401352145152. Its totient is φ = 1249433396640.

The previous prime is 2101211222119. The next prime is 2101211222129. The reversal of 2101211222121 is 1212221121012.

2101211222121 is a `hidden beast` number, since 210 + 1 + 211 + 2 + 221 + 21 = 666.

It is not a de Polignac number, because 2101211222121 - 21 = 2101211222119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101211222094 and 2101211222103.

It is not an unprimeable number, because it can be changed into a prime (2101211222129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019905 + ... + 2289678.

It is an arithmetic number, because the mean of its divisors is an integer number (70861503024).

Almost surely, 22101211222121 is an apocalyptic number.

It is an amenable number.

2101211222121 is a deficient number, since it is larger than the sum of its proper divisors (1300140923031).

2101211222121 is a wasteful number, since it uses less digits than its factorization.

2101211222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309675 (or 3309650 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2101211222121 its reverse (1212221121012), we get a palindrome (3313432343133).

The spelling of 2101211222121 in words is "two trillion, one hundred one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 53 99 121 159 363 477 583 1089 1331 1749 3993 5247 6413 11979 19239 57717 70543 211629 634887 3309583 9928749 29786247 36405413 109216239 175407899 327648717 400459543 526223697 1201378629 1578671091 1929486889 3604135887 4405054973 5788460667 13215164919 17365382001 21224355779 39645494757 63673067337 191019202011 233467913569 700403740707 2101211222121