101100201001121 has 8 divisors (see below), whose sum is σ = 115543718609280. Its totient is φ = 86656841330688.

The previous prime is 101100201001109. The next prime is 101100201001133. The reversal of 101100201001121 is 121100102001101.

It is an interprime number because it is at equal distance from previous prime (101100201001109) and next prime (101100201001133).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100201001121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101100201001021) 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, 38109536 + ... + 40676001.

It is an arithmetic number, because the mean of its divisors is an integer number (14442964826160).

Almost surely, 2^{101100201001121} is an apocalyptic number.

It is an amenable number.

101100201001121 is a deficient number, since it is larger than the sum of its proper divisors (14443517608159).

101100201001121 is an equidigital number, since it uses as much as digits as its factorization.

101100201001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78968863.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101100201001121 its reverse (121100102001101), we get a palindrome (222200303002222).

The spelling of 101100201001121 in words is "one hundred one trillion, one hundred billion, two hundred one million, one thousand, one hundred twenty-one".