20111012011121 has 16 divisors (see below), whose sum is σ = 20678248704960. Its totient is φ = 19548380134080.

The previous prime is 20111012011117. The next prime is 20111012011141. The reversal of 20111012011121 is 12111021011102.

It is a cyclic number.

It is not a de Polignac number, because 20111012011121 - 2² = 20111012011117 is a prime.

It is a super-2 number, since 2×20111012011121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20111012011096 and 20111012011105.

It is not an unprimeable number, because it can be changed into a prime (20111012011141) 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, 20605466 + ... + 21559388.

It is an arithmetic number, because the mean of its divisors is an integer number (1292390544060).

Almost surely, 2^{20111012011121} is an apocalyptic number.

It is an amenable number.

20111012011121 is a deficient number, since it is larger than the sum of its proper divisors (567236693839).

20111012011121 is a wasteful number, since it uses less digits than its factorization.

20111012011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956336.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 20111012011121 its reverse (12111021011102), we get a palindrome (32222033022223).

The spelling of 20111012011121 in words is "twenty trillion, one hundred eleven billion, twelve million, eleven thousand, one hundred twenty-one".