122113113102041 has 32 divisors (see below), whose sum is σ = 132833584696320. Its totient is φ = 111830298624000.

The previous prime is 122113113102037. The next prime is 122113113102061. The reversal of 122113113102041 is 140201311311221.

It is a cyclic number.

It is not a de Polignac number, because 122113113102041 - 2² = 122113113102037 is a prime.

It is a super-2 number, since 2×122113113102041² (a number of 29 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 = 122113113101998 and 122113113102016.

It is not an unprimeable number, because it can be changed into a prime (122113113102011) 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, 3942041945 + ... + 3942072921.

It is an arithmetic number, because the mean of its divisors is an integer number (4151049521760).

Almost surely, 2^{122113113102041} is an apocalyptic number.

It is an amenable number.

122113113102041 is a deficient number, since it is larger than the sum of its proper divisors (10720471594279).

122113113102041 is a wasteful number, since it uses less digits than its factorization.

122113113102041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38225.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 122113113102041 its reverse (140201311311221), we get a palindrome (262314424413262).

The spelling of 122113113102041 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred thirteen million, one hundred two thousand, forty-one".