10001210122101 has 16 divisors (see below), whose sum is σ = 14940382690368. Its totient is φ = 5897519481600.

The previous prime is 10001210122093. The next prime is 10001210122133. The reversal of 10001210122101 is 10122101210001.

It is not a de Polignac number, because 10001210122101 - 2³ = 10001210122093 is a prime.

It is a super-3 number, since 3×10001210122101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001210122151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4095498420 + ... + 4095500861.

It is an arithmetic number, because the mean of its divisors is an integer number (933773918148).

Almost surely, 2^{10001210122101} is an apocalyptic number.

10001210122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001210122101 is a deficient number, since it is larger than the sum of its proper divisors (4939172568267).

10001210122101 is a wasteful number, since it uses less digits than its factorization.

10001210122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8190999332.

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

Adding to 10001210122101 its reverse (10122101210001), we get a palindrome (20123311332102).

The spelling of 10001210122101 in words is "ten trillion, one billion, two hundred ten million, one hundred twenty-two thousand, one hundred one".