1201441012101 has 64 divisors (see below), whose sum is σ = 2044289664000. Its totient is φ = 689697426240.

The previous prime is 1201441012067. The next prime is 1201441012127. The reversal of 1201441012101 is 1012101441021.

1201441012101 is a `hidden beast` number, since 1 + 201 + 441 + 0 + 1 + 21 + 0 + 1 = 666.

It is not a de Polignac number, because 1201441012101 - 2¹⁷ = 1201440881029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201441012171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37560751 + ... + 37592723.

It is an arithmetic number, because the mean of its divisors is an integer number (31942026000).

Almost surely, 2^{1201441012101} is an apocalyptic number.

1201441012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201441012101 is a deficient number, since it is larger than the sum of its proper divisors (842848651899).

1201441012101 is a wasteful number, since it uses less digits than its factorization.

1201441012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38671 (or 38665 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1201441012101 its reverse (1012101441021), we get a palindrome (2213542453122).

The spelling of 1201441012101 in words is "one trillion, two hundred one billion, four hundred forty-one million, twelve thousand, one hundred one".