10007668980101 has 16 divisors (see below), whose sum is σ = 10790681818224. Its totient is φ = 9226542518784.

The previous prime is 10007668980097. The next prime is 10007668980103. The reversal of 10007668980101 is 10108986670001.

10007668980101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3163490²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1575765537025 + 8431903443076 = 1255295^2 + 2903774^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007668980101 - 2² = 10007668980097 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 (10007668980103) 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, 171179591 + ... + 171238043.

It is an arithmetic number, because the mean of its divisors is an integer number (674417613639).

Almost surely, 2^{10007668980101} is an apocalyptic number.

It is an amenable number.

10007668980101 is a deficient number, since it is larger than the sum of its proper divisors (783012838123).

10007668980101 is a wasteful number, since it uses less digits than its factorization.

10007668980101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74360.

The product of its (nonzero) digits is 145152, while the sum is 47.

The spelling of 10007668980101 in words is "ten trillion, seven billion, six hundred sixty-eight million, nine hundred eighty thousand, one hundred one".