122020002001001 has 8 divisors (see below), whose sum is σ = 131796085252104. Its totient is φ = 112299622928640.

The previous prime is 122020002000979. The next prime is 122020002001049. The reversal of 122020002001001 is 100100200020221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21833415045376 + 100186586955625 = 4672624^2 + 10009325^2 .

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 122020002001001 - 2¹⁰ = 122020001999977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122020002009001) 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, 13926040130 + ... + 13926048891.

It is an arithmetic number, because the mean of its divisors is an integer number (16474510656513).

Almost surely, 2^{122020002001001} is an apocalyptic number.

It is an amenable number.

122020002001001 is a deficient number, since it is larger than the sum of its proper divisors (9776083251103).

122020002001001 is a wasteful number, since it uses less digits than its factorization.

122020002001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27852089371.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122020002001001 its reverse (100100200020221), we get a palindrome (222120202021222).

The spelling of 122020002001001 in words is "one hundred twenty-two trillion, twenty billion, two million, one thousand, one".