10210122100101 has 96 divisors (see below), whose sum is σ = 18112608702720. Its totient is φ = 4990472847360.

The previous prime is 10210122100093. The next prime is 10210122100111. The reversal of 10210122100101 is 10100122101201.

10210122100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10210122100101 - 2³ = 10210122100093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210122100111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152408725 + ... + 152475701.

It is an arithmetic number, because the mean of its divisors is an integer number (188673007320).

Almost surely, 2^{10210122100101} is an apocalyptic number.

10210122100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210122100101 is a deficient number, since it is larger than the sum of its proper divisors (7902486602619).

10210122100101 is a wasteful number, since it uses less digits than its factorization.

10210122100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70555 (or 70544 counting only the distinct ones).

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

Adding to 10210122100101 its reverse (10100122101201), we get a palindrome (20310244201302).

The spelling of 10210122100101 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, one hundred thousand, one hundred one".