10120100212101 has 64 divisors (see below), whose sum is σ = 15178158535680. Its totient is φ = 5945928000000.

The previous prime is 10120100212097. The next prime is 10120100212153. The reversal of 10120100212101 is 10121200102101.

It is not a de Polignac number, because 10120100212101 - 2² = 10120100212097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120100212171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49255881 + ... + 49460913.

It is an arithmetic number, because the mean of its divisors is an integer number (237158727120).

Almost surely, 2^{10120100212101} is an apocalyptic number.

10120100212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120100212101 is a deficient number, since it is larger than the sum of its proper divisors (5058058323579).

10120100212101 is a wasteful number, since it uses less digits than its factorization.

10120100212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205458.

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

Adding to 10120100212101 its reverse (10121200102101), we get a palindrome (20241300314202).

The spelling of 10120100212101 in words is "ten trillion, one hundred twenty billion, one hundred million, two hundred twelve thousand, one hundred one".