10106011060501 has 16 divisors (see below), whose sum is σ = 10761721979904. Its totient is φ = 9457259874304.

The previous prime is 10106011060489. The next prime is 10106011060513. The reversal of 10106011060501 is 10506011060101.

It is an interprime number because it is at equal distance from previous prime (10106011060489) and next prime (10106011060513).

It is a cyclic number.

It is not a de Polignac number, because 10106011060501 - 2¹⁵ = 10106011027733 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 (10106011060531) 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, 344245 + ... + 4508938.

It is an arithmetic number, because the mean of its divisors is an integer number (672607623744).

Almost surely, 2^{10106011060501} is an apocalyptic number.

It is an amenable number.

10106011060501 is a deficient number, since it is larger than the sum of its proper divisors (655710919403).

10106011060501 is a wasteful number, since it uses less digits than its factorization.

10106011060501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853900.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 10106011060501 in words is "ten trillion, one hundred six billion, eleven million, sixty thousand, five hundred one".