10112010212101 has 36 divisors (see below), whose sum is σ = 11930396177700. Its totient is φ = 8545765552128.

The previous prime is 10112010212081. The next prime is 10112010212113. The reversal of 10112010212101 is 10121201021101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4293909230625 + 5818100981476 = 2072175^2 + 2412074^2 .

It is not a de Polignac number, because 10112010212101 - 2⁴³ = 1315917189893 is a prime.

It is a super-2 number, since 2×10112010212101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112010210101) 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 35 ways as a sum of consecutive naturals, for example, 1119943455 + ... + 1119952483.

It is an arithmetic number, because the mean of its divisors is an integer number (331399893825).

Almost surely, 2^{10112010212101} is an apocalyptic number.

It is an amenable number.

10112010212101 is a deficient number, since it is larger than the sum of its proper divisors (1818385965599).

10112010212101 is an frugal number, since it uses more digits than its factorization.

10112010212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478 (or 13398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10112010212101 its reverse (10121201021101), we get a palindrome (20233211233202).

The spelling of 10112010212101 in words is "ten trillion, one hundred twelve billion, ten million, two hundred twelve thousand, one hundred one".