20110100001121 has 32 divisors (see below), whose sum is σ = 21804076449792. Its totient is φ = 18437527402560.

The previous prime is 20110100001107. The next prime is 20110100001143. The reversal of 20110100001121 is 12110000101102.

It is a cyclic number.

It is not a de Polignac number, because 20110100001121 - 2³⁷ = 19972661047649 is a prime.

It is a super-2 number, since 2×20110100001121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20110100001098 and 20110100001107.

It is not an unprimeable number, because it can be changed into a prime (20110100001721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4204492696 + ... + 4204497478.

It is an arithmetic number, because the mean of its divisors is an integer number (681377389056).

Almost surely, 2^{20110100001121} is an apocalyptic number.

It is an amenable number.

20110100001121 is a deficient number, since it is larger than the sum of its proper divisors (1693976448671).

20110100001121 is a wasteful number, since it uses less digits than its factorization.

20110100001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7813.

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

Adding to 20110100001121 its reverse (12110000101102), we get a palindrome (32220100102223).

The spelling of 20110100001121 in words is "twenty trillion, one hundred ten billion, one hundred million, one thousand, one hundred twenty-one".