201001121020101 has 32 divisors (see below), whose sum is σ = 302328360714240. Its totient is φ = 118146740906304.

The previous prime is 201001121020031. The next prime is 201001121020123. The reversal of 201001121020101 is 101020121100102.

It is not a de Polignac number, because 201001121020101 - 2¹⁴ = 201001121003717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001121020201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2071828965 + ... + 2071925978.

It is an arithmetic number, because the mean of its divisors is an integer number (9447761272320).

Almost surely, 2^{201001121020101} is an apocalyptic number.

It is an amenable number.

201001121020101 is a deficient number, since it is larger than the sum of its proper divisors (101327239694139).

201001121020101 is a wasteful number, since it uses less digits than its factorization.

201001121020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143755025.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201001121020101 its reverse (101020121100102), we get a palindrome (302021242120203).

The spelling of 201001121020101 in words is "two hundred one trillion, one billion, one hundred twenty-one million, twenty thousand, one hundred one".