10106100561249 has 32 divisors (see below), whose sum is σ = 18666390650880. Its totient is φ = 5249922368400.

The previous prime is 10106100561181. The next prime is 10106100561257. The reversal of 10106100561249 is 94216500160101.

10106100561249 is a `hidden beast` number, since 1 + 0 + 10 + 61 + 0 + 0 + 561 + 24 + 9 = 666.

It is not a de Polignac number, because 10106100561249 - 2¹² = 10106100557153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10106100511249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2430517537 + ... + 2430521694.

It is an arithmetic number, because the mean of its divisors is an integer number (583324707840).

Almost surely, 2^{10106100561249} is an apocalyptic number.

It is an amenable number.

10106100561249 is a deficient number, since it is larger than the sum of its proper divisors (8560290089631).

10106100561249 is a wasteful number, since it uses less digits than its factorization.

10106100561249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861039258 (or 4861039252 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10106100561249 in words is "ten trillion, one hundred six billion, one hundred million, five hundred sixty-one thousand, two hundred forty-nine".