20100122201001 has 32 divisors (see below), whose sum is σ = 27867035213568. Its totient is φ = 12876310022400.

The previous prime is 20100122200979. The next prime is 20100122201011. The reversal of 20100122201001 is 10010222100102.

It is not a de Polignac number, because 20100122201001 - 2¹⁵ = 20100122168233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20100122201011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2192716 + ... + 6708818.

It is an arithmetic number, because the mean of its divisors is an integer number (870844850424).

Almost surely, 2^{20100122201001} is an apocalyptic number.

It is an amenable number.

20100122201001 is a deficient number, since it is larger than the sum of its proper divisors (7766913012567).

20100122201001 is a wasteful number, since it uses less digits than its factorization.

20100122201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516641.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20100122201001 its reverse (10010222100102), we get a palindrome (30110344301103).

The spelling of 20100122201001 in words is "twenty trillion, one hundred billion, one hundred twenty-two million, two hundred one thousand, one".