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122201102221 = 1119601972869
BaseRepresentation
bin111000111001111000…
…0001101011110001101
3102200102101221012002221
41301303300031132031
54000231440232341
6132045521415341
711554154142022
oct1616360153615
9380371835087
10122201102221
1147909377870
121b824a9a551
13b6a6213613
145cb37cd549
1532a333ded1
hex1c73c0d78d

122201102221 has 16 divisors (see below), whose sum is σ = 140560257600. Its totient is φ = 105069744000.

The previous prime is 122201102189. The next prime is 122201102263.

It is a happy number.

122201102221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122201102221 - 25 = 122201102189 is a prime.

It is a super-2 number, since 2×1222011022212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122201102195 and 122201102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201102281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360826 + ... + 612043.

It is an arithmetic number, because the mean of its divisors is an integer number (8785016100).

Almost surely, 2122201102221 is an apocalyptic number.

122201102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122201102221 is a deficient number, since it is larger than the sum of its proper divisors (18359155379).

122201102221 is a wasteful number, since it uses less digits than its factorization.

122201102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973500.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 122201 and 102221, that added together give a palindrome (224422).

The spelling of 122201102221 in words is "one hundred twenty-two billion, two hundred one million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 11 19 209 601 6611 11419 125609 972869 10701559 18484511 203329621 584694269 6431636959 11109191111 122201102221