10112210002101 has 32 divisors (see below), whose sum is σ = 13730814115200. Its totient is φ = 6618593332224.

The previous prime is 10112210002091. The next prime is 10112210002129. The reversal of 10112210002101 is 10120001221101.

It is not a de Polignac number, because 10112210002101 - 2²⁵ = 10112176447669 is a prime.

It is a super-2 number, since 2×10112210002101² (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 (10112210002201) 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 31 ways as a sum of consecutive naturals, for example, 92000625 + ... + 92110473.

It is an arithmetic number, because the mean of its divisors is an integer number (429087941100).

Almost surely, 2^{10112210002101} is an apocalyptic number.

It is an amenable number.

10112210002101 is a deficient number, since it is larger than the sum of its proper divisors (3618604113099).

10112210002101 is a wasteful number, since it uses less digits than its factorization.

10112210002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112245.

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

Adding to 10112210002101 its reverse (10120001221101), we get a palindrome (20232211223202).

The spelling of 10112210002101 in words is "ten trillion, one hundred twelve billion, two hundred ten million, two thousand, one hundred one".