10120102012101 has 8 divisors (see below), whose sum is σ = 13494853476000. Its totient is φ = 6746042611472.

The previous prime is 10120102012091. The next prime is 10120102012109. The reversal of 10120102012101 is 10121020102101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10120102012101 - 2⁷ = 10120102011973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120102012109) 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 7 ways as a sum of consecutive naturals, for example, 172981695 + ... + 173040188.

It is an arithmetic number, because the mean of its divisors is an integer number (1686856684500).

Almost surely, 2^{10120102012101} is an apocalyptic number.

It is an amenable number.

10120102012101 is a deficient number, since it is larger than the sum of its proper divisors (3374751463899).

10120102012101 is an equidigital number, since it uses as much as digits as its factorization.

10120102012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346031635.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10120102012101 its reverse (10121020102101), we get a palindrome (20241122114202).

Subtracting 10120102012101 from its reverse (10121020102101), we obtain a square (918090000 = 30300²).

The spelling of 10120102012101 in words is "ten trillion, one hundred twenty billion, one hundred two million, twelve thousand, one hundred one".