101121112211201 has 8 divisors (see below), whose sum is σ = 102346983266304. Its totient is φ = 99895420784880.

The previous prime is 101121112211177. The next prime is 101121112211221. The reversal of 101121112211201 is 102112211121101.

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 101121112211201 - 2³⁰ = 101120038469377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101121112211201.

It is not an unprimeable number, because it can be changed into a prime (101121112211221) 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, 43774310 + ... + 46026431.

It is an arithmetic number, because the mean of its divisors is an integer number (12793372908288).

Almost surely, 2^{101121112211201} is an apocalyptic number.

It is an amenable number.

101121112211201 is a deficient number, since it is larger than the sum of its proper divisors (1225871055103).

101121112211201 is an equidigital number, since it uses as much as digits as its factorization.

101121112211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89814391.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101121112211201 its reverse (102112211121101), we get a palindrome (203233323332302).

The spelling of 101121112211201 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, two hundred one".