10355680101 has 16 divisors (see below), whose sum is σ = 15744383424. Its totient is φ = 5997859584.

The previous prime is 10355680087. The next prime is 10355680109. The reversal of 10355680101 is 10108655301.

It is not a de Polignac number, because 10355680101 - 2⁷ = 10355679973 is a prime.

It is a super-3 number, since 3×10355680101³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10355680109) 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, 7809051 + ... + 7810376.

It is an arithmetic number, because the mean of its divisors is an integer number (984023964).

Almost surely, 2^10355680101 is an apocalyptic number.

It is an amenable number.

10355680101 is a deficient number, since it is larger than the sum of its proper divisors (5388703323).

10355680101 is a wasteful number, since it uses less digits than its factorization.

10355680101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15619460.

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 10355680101 in words is "ten billion, three hundred fifty-five million, six hundred eighty thousand, one hundred one".