10122000101101 has 16 divisors (see below), whose sum is σ = 12396042658944. Its totient is φ = 8067265841664.

The previous prime is 10122000101069. The next prime is 10122000101111. The reversal of 10122000101101 is 10110100022101.

It is a cyclic number.

It is not a de Polignac number, because 10122000101101 - 2⁵ = 10122000101069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122000101111) 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, 512392680 + ... + 512412433.

It is an arithmetic number, because the mean of its divisors is an integer number (774752666184).

Almost surely, 2^{10122000101101} is an apocalyptic number.

It is an amenable number.

10122000101101 is a deficient number, since it is larger than the sum of its proper divisors (2274042557843).

10122000101101 is a wasteful number, since it uses less digits than its factorization.

10122000101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024805220.

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

Adding to 10122000101101 its reverse (10110100022101), we get a palindrome (20232100123202).

The spelling of 10122000101101 in words is "ten trillion, one hundred twenty-two billion, one hundred one thousand, one hundred one".