101200121120011 has 8 divisors (see below), whose sum is σ = 101293640066304. Its totient is φ = 101106636245160.

The previous prime is 101200121119997. The next prime is 101200121120057. The reversal of 101200121120011 is 110021121002101.

It is a happy number.

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 101200121120011 - 2³¹ = 101197973636363 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101200121119973 and 101200121120000.

It is not an unprimeable number, because it can be changed into a prime (101200121120081) 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, 2572735 + ... + 14457496.

It is an arithmetic number, because the mean of its divisors is an integer number (12661705008288).

Almost surely, 2^{101200121120011} is an apocalyptic number.

101200121120011 is a deficient number, since it is larger than the sum of its proper divisors (93518946293).

101200121120011 is a wasteful number, since it uses less digits than its factorization.

101200121120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17035721.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101200121120011 its reverse (110021121002101), we get a palindrome (211221242122112).

The spelling of 101200121120011 in words is "one hundred one trillion, two hundred billion, one hundred twenty-one million, one hundred twenty thousand, eleven".