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122101102212201 = 32718593104238839
BaseRepresentation
bin11011110000110011100000…
…110100101111010001101001
3121000022202021202021102001100
4123300303200310233101221
5112001001024131242301
61111404245541112013
734501341065256330
oct3360634064572151
9530282252242040
10122101102212201
11359a5872036472
12118400180b8609
135319113947338
142221a210d6d17
15e1b1e34de286
hex6f0ce0d2f469

122101102212201 has 24 divisors (see below), whose sum is σ = 201574567059840. Its totient is φ = 69768305139456.

The previous prime is 122101102212161. The next prime is 122101102212241. The reversal of 122101102212201 is 102212201101221.

122101102212201 is a `hidden beast` number, since 1 + 2 + 210 + 1 + 10 + 221 + 220 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (122101102212161) and next prime (122101102212241).

It is not a de Polignac number, because 122101102212201 - 26 = 122101102212137 is a prime.

It is a super-2 number, since 2×1221011022122012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122101102212241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50948061 + ... + 53290778.

It is an arithmetic number, because the mean of its divisors is an integer number (8398940294160).

Almost surely, 2122101102212201 is an apocalyptic number.

It is an amenable number.

122101102212201 is a deficient number, since it is larger than the sum of its proper divisors (79473464847639).

122101102212201 is a wasteful number, since it uses less digits than its factorization.

122101102212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104257445 (or 104257442 counting only the distinct ones).

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

Adding to 122101102212201 its reverse (102212201101221), we get a palindrome (224313303313422).

The spelling of 122101102212201 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred two million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 7 9 21 63 18593 55779 130151 167337 390453 1171359 104238839 312716517 729671873 938149551 2189015619 6567046857 1938112733527 5814338200581 13566789134689 17443014601743 40700367404067 122101102212201