25105500101 has 16 divisors (see below), whose sum is σ = 27663060480. Its totient is φ = 22594178880.

The previous prime is 25105500083. The next prime is 25105500113. The reversal of 25105500101 is 10100550152.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 25105500101 - 2¹⁴ = 25105483717 is a prime.

It is a super-2 number, since 2×25105500101² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25105500131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1474700 + ... + 1491626.

It is an arithmetic number, because the mean of its divisors is an integer number (1728941280).

Almost surely, 2^25105500101 is an apocalyptic number.

It is an amenable number.

25105500101 is a deficient number, since it is larger than the sum of its proper divisors (2557560379).

25105500101 is a wasteful number, since it uses less digits than its factorization.

25105500101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18284.

The product of its (nonzero) digits is 250, while the sum is 20.

The spelling of 25105500101 in words is "twenty-five billion, one hundred five million, five hundred thousand, one hundred one".