10121412101 has 16 divisors (see below), whose sum is σ = 10331774208. Its totient is φ = 9913800000.

The previous prime is 10121412097. The next prime is 10121412107.

10121412101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10121412101 - 2² = 10121412097 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121412107) 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, 3978836 + ... + 3981378.

It is an arithmetic number, because the mean of its divisors is an integer number (645735888).

Almost surely, 2^10121412101 is an apocalyptic number.

It is an amenable number.

10121412101 is a deficient number, since it is larger than the sum of its proper divisors (210362107).

10121412101 is a wasteful number, since it uses less digits than its factorization.

10121412101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052.

The product of its (nonzero) digits is 16, while the sum is 14.

The spelling of 10121412101 in words is "ten billion, one hundred twenty-one million, four hundred twelve thousand, one hundred one".