122005022101 has 8 divisors (see below), whose sum is σ = 123888524760. Its totient is φ = 120134289408.

The previous prime is 122005022089. The next prime is 122005022137. The reversal of 122005022101 is 101220500221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79042511025 + 42962511076 = 281145^2 + 207274^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 122005022101 - 2⁷ = 122005021973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122005020101) 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, 3173236 + ... + 3211453.

It is an arithmetic number, because the mean of its divisors is an integer number (15486065595).

Almost surely, 2^122005022101 is an apocalyptic number.

It is an amenable number.

122005022101 is a deficient number, since it is larger than the sum of its proper divisors (1883502659).

122005022101 is an equidigital number, since it uses as much as digits as its factorization.

122005022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6384983.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 122005022101 its reverse (101220500221), we get a palindrome (223225522322).

The spelling of 122005022101 in words is "one hundred twenty-two billion, five million, twenty-two thousand, one hundred one".