10201101121 has 16 divisors (see below), whose sum is σ = 10960920000. Its totient is φ = 9464803776.

The previous prime is 10201101109. The next prime is 10201101133. The reversal of 10201101121 is 12110110201.

It is an interprime number because it is at equal distance from previous prime (10201101109) and next prime (10201101133).

It is a cyclic number.

It is not a de Polignac number, because 10201101121 - 2¹³ = 10201092929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201101098 and 10201101107.

It is not an unprimeable number, because it can be changed into a prime (10201101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284635 + ... + 318463.

It is an arithmetic number, because the mean of its divisors is an integer number (685057500).

Almost surely, 2^10201101121 is an apocalyptic number.

It is an amenable number.

10201101121 is a deficient number, since it is larger than the sum of its proper divisors (759818879).

10201101121 is a wasteful number, since it uses less digits than its factorization.

10201101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34176.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10201101121 its reverse (12110110201), we get a palindrome (22311211322).

The spelling of 10201101121 in words is "ten billion, two hundred one million, one hundred one thousand, one hundred twenty-one".