112121010101001 has 32 divisors (see below), whose sum is σ = 174388033800576. Its totient is φ = 63321726080000.

The previous prime is 112121010100999. The next prime is 112121010101011. The reversal of 112121010101001 is 100101010121211.

It is a cyclic number.

It is not a de Polignac number, because 112121010101001 - 2¹ = 112121010100999 is a prime.

It is a super-2 number, since 2×112121010101001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112121010101011) 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, 989345310 + ... + 989458631.

It is an arithmetic number, because the mean of its divisors is an integer number (5449626056268).

Almost surely, 2^{112121010101001} is an apocalyptic number.

112121010101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112121010101001 is a deficient number, since it is larger than the sum of its proper divisors (62267023699575).

112121010101001 is a wasteful number, since it uses less digits than its factorization.

112121010101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978804073.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112121010101001 its reverse (100101010121211), we get a palindrome (212222020222212).

It can be divided in two parts, 1121210 and 10101001, that added together give a palindrome (11222211).

The spelling of 112121010101001 in words is "one hundred twelve trillion, one hundred twenty-one billion, ten million, one hundred one thousand, one".