1201114111021 has 48 divisors (see below), whose sum is σ = 1406099620800. Its totient is φ = 1022297760000.

The previous prime is 1201114110971. The next prime is 1201114111037.

It is a happy number.

1201114111021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1201114111021 - 2²⁷ = 1200979893293 is a prime.

It is a super-2 number, since 2×1201114111021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1201114110986 and 1201114111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201114111321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132116686 + ... + 132125776.

It is an arithmetic number, because the mean of its divisors is an integer number (29293742100).

Almost surely, 2^{1201114111021} is an apocalyptic number.

1201114111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201114111021 is a deficient number, since it is larger than the sum of its proper divisors (204985509779).

1201114111021 is a wasteful number, since it uses less digits than its factorization.

1201114111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9802 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

The spelling of 1201114111021 in words is "one trillion, two hundred one billion, one hundred fourteen million, one hundred eleven thousand, twenty-one".