122301020002213 has 32 divisors (see below), whose sum is σ = 140301553109760. Its totient is φ = 105608610155520.

The previous prime is 122301020002207. The next prime is 122301020002219. The reversal of 122301020002213 is 312200020103221.

It is an interprime number because it is at equal distance from previous prime (122301020002207) and next prime (122301020002219).

It is a cyclic number.

It is not a de Polignac number, because 122301020002213 - 2³⁷ = 122163581048741 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 (122301020002219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545336443 + ... + 545560663.

It is an arithmetic number, because the mean of its divisors is an integer number (4384423534680).

Almost surely, 2^{122301020002213} is an apocalyptic number.

122301020002213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122301020002213 is a deficient number, since it is larger than the sum of its proper divisors (18000533107547).

122301020002213 is a wasteful number, since it uses less digits than its factorization.

122301020002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239197.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 122301020002213 its reverse (312200020103221), we get a palindrome (434501040105434).

The spelling of 122301020002213 in words is "one hundred twenty-two trillion, three hundred one billion, twenty million, two thousand, two hundred thirteen".