10121121101 has 16 divisors (see below), whose sum is σ = 12460159488. Its totient is φ = 8005737600.

The previous prime is 10121121083. The next prime is 10121121113. The reversal of 10121121101 is 10112112101.

It is a de Polignac number, because none of the positive numbers 2^k-10121121101 is a prime.

It is a super-2 number, since 2×10121121101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375641 + ... + 401681.

It is an arithmetic number, because the mean of its divisors is an integer number (778759968).

Almost surely, 2^10121121101 is an apocalyptic number.

It is an amenable number.

10121121101 is a deficient number, since it is larger than the sum of its proper divisors (2339038387).

10121121101 is a wasteful number, since it uses less digits than its factorization.

10121121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30332.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10121121101 its reverse (10112112101), we get a palindrome (20233233202).

The spelling of 10121121101 in words is "ten billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred one".