1010414140101 has 12 divisors (see below), whose sum is σ = 1498932688812. Its totient is φ = 655403766336.

The previous prime is 1010414140067. The next prime is 1010414140117.

1010414140101 is a `hidden beast` number, since 1 + 0 + 10 + 414 + 140 + 101 = 666.

1010414140101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 623870921025 + 386543219076 = 789855^2 + 621726^2 .

It is not a de Polignac number, because 1010414140101 - 2²¹ = 1010412042949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010414140121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1517138016 + ... + 1517138681.

It is an arithmetic number, because the mean of its divisors is an integer number (124911057401).

Almost surely, 2^{1010414140101} is an apocalyptic number.

It is an amenable number.

1010414140101 is a deficient number, since it is larger than the sum of its proper divisors (488518548711).

1010414140101 is a wasteful number, since it uses less digits than its factorization.

1010414140101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034276740 (or 3034276737 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 1010414140101 in words is "one trillion, ten billion, four hundred fourteen million, one hundred forty thousand, one hundred one".