10210012112101 has 12 divisors (see below), whose sum is σ = 10465544475396. Its totient is φ = 9960574426880.

The previous prime is 10210012112087. The next prime is 10210012112147. The reversal of 10210012112101 is 10121121001201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3872075076 + 10206140037025 = 62226^2 + 3194705^2 .

It is not a de Polignac number, because 10210012112101 - 2²⁷ = 10209877894373 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 (10210012112161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45303171 + ... + 45527983.

It is an arithmetic number, because the mean of its divisors is an integer number (872128706283).

Almost surely, 2^{10210012112101} is an apocalyptic number.

It is an amenable number.

10210012112101 is a deficient number, since it is larger than the sum of its proper divisors (255532363295).

10210012112101 is an equidigital number, since it uses as much as digits as its factorization.

10210012112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251912 (or 251871 counting only the distinct ones).

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

Adding to 10210012112101 its reverse (10121121001201), we get a palindrome (20331133113302).

The spelling of 10210012112101 in words is "ten trillion, two hundred ten billion, twelve million, one hundred twelve thousand, one hundred one".