1012114112101 has 8 divisors (see below), whose sum is σ = 1014140150208. Its totient is φ = 1010090100000.

The previous prime is 1012114112099. The next prime is 1012114112159.

It is a happy number.

1012114112101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1012114112101 - 2¹ = 1012114112099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012114112171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495601 + ... + 1506601.

It is an arithmetic number, because the mean of its divisors is an integer number (126767518776).

Almost surely, 2^{1012114112101} is an apocalyptic number.

It is an amenable number.

1012114112101 is a deficient number, since it is larger than the sum of its proper divisors (2026038107).

1012114112101 is a wasteful number, since it uses less digits than its factorization.

1012114112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013003.

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

The spelling of 1012114112101 in words is "one trillion, twelve billion, one hundred fourteen million, one hundred twelve thousand, one hundred one".