10121201101 has 8 divisors (see below), whose sum is σ = 11206106784. Its totient is φ = 9063761520.

The previous prime is 10121201099. The next prime is 10121201131. The reversal of 10121201101 is 10110212101.

10121201101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10121201101 - 2¹ = 10121201099 is a prime.

It is a super-2 number, since 2×10121201101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121201131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6865750 + ... + 6867223.

It is an arithmetic number, because the mean of its divisors is an integer number (1400763348).

Almost surely, 2^10121201101 is an apocalyptic number.

10121201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121201101 is a deficient number, since it is larger than the sum of its proper divisors (1084905683).

10121201101 is a wasteful number, since it uses less digits than its factorization.

10121201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13733051.

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

Adding to 10121201101 its reverse (10110212101), we get a palindrome (20231413202).

The spelling of 10121201101 in words is "ten billion, one hundred twenty-one million, two hundred one thousand, one hundred one".