101201122121 has 8 divisors (see below), whose sum is σ = 110472792384. Its totient is φ = 91941379920.

The previous prime is 101201122117. The next prime is 101201122133. The reversal of 101201122121 is 121221102101.

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 101201122121 - 2² = 101201122117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101201122096 and 101201122105.

It is not an unprimeable number, because it can be changed into a prime (101201122151) 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, 2964266 + ... + 2998211.

It is an arithmetic number, because the mean of its divisors is an integer number (13809099048).

Almost surely, 2^101201122121 is an apocalyptic number.

101201122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201122121 is a deficient number, since it is larger than the sum of its proper divisors (9271670263).

101201122121 is a wasteful number, since it uses less digits than its factorization.

101201122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964031.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101201122121 its reverse (121221102101), we get a palindrome (222422224222).

It can be divided in two parts, 101201 and 122121, that added together give a palindrome (223322).

The spelling of 101201122121 in words is "one hundred one billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty-one".