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122221102021 = 1012814306441
BaseRepresentation
bin111000111010011110…
…0100000001111000101
3102200110210120021200021
41301310330200033011
54000302100231041
6132051514215141
711554516140334
oct1616474401705
9380423507607
10122221102021
1147919697a27
121b82b7244b1
13b6aa3c6915
145cb6317d1b
1532a4e8ecd1
hex1c74f203c5

122221102021 has 8 divisors (see below), whose sum is σ = 123870497688. Its totient is φ = 120580320000.

The previous prime is 122221102009. The next prime is 122221102061. The reversal of 122221102021 is 120201122221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66094753921 + 56126348100 = 257089^2 + 236910^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122221102021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122221101986 and 122221102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221102061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2124840 + ... + 2181601.

It is an arithmetic number, because the mean of its divisors is an integer number (15483812211).

Almost surely, 2122221102021 is an apocalyptic number.

It is an amenable number.

122221102021 is a deficient number, since it is larger than the sum of its proper divisors (1649395667).

122221102021 is a wasteful number, since it uses less digits than its factorization.

122221102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306823.

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

Adding to 122221102021 its reverse (120201122221), we get a palindrome (242422224242).

The spelling of 122221102021 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred two thousand, twenty-one".

Divisors: 1 101 281 28381 4306441 434950541 1210109921 122221102021