Search a number
-
+
122101210201001 = 4767349991112111
BaseRepresentation
bin11011110000110011100111…
…010000101011101110101001
3121000022202120021110210211112
4123300303213100223232221
5112001001234302413001
61111404304355440105
734501343546203433
oct3360634720535651
9530282507423745
10122101210201001
11359a5917a94009
12118400482b6035
135319130127135
142221a315a7653
15e1b1ecc20cbb
hex6f0ce742bba9

122101210201001 has 32 divisors (see below), whose sum is σ = 127052134809600. Its totient is φ = 117262880539200.

The previous prime is 122101210200971. The next prime is 122101210201021. The reversal of 122101210201001 is 100102012101221.

It is a cyclic number.

It is not a de Polignac number, because 122101210201001 - 242 = 117703163689897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101210201021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089053936 + ... + 1089166046.

It is an arithmetic number, because the mean of its divisors is an integer number (3970379212800).

Almost surely, 2122101210201001 is an apocalyptic number.

It is an amenable number.

122101210201001 is a deficient number, since it is larger than the sum of its proper divisors (4950924608599).

122101210201001 is a wasteful number, since it uses less digits than its factorization.

122101210201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113565.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122101210201001 its reverse (100102012101221), we get a palindrome (222203222302222).

The spelling of 122101210201001 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred ten million, two hundred one thousand, one".

Divisors: 1 47 67 349 991 3149 16403 23383 46577 66397 112111 345859 1099001 3120659 5269217 7511437 16255373 23172553 39126739 111102001 353037539 1089109991 1838956733 2621491513 5221794047 7443834067 38774598349 123210101111 349860201149 1822406122403 2597898089383 122101210201001