10212212102101 has 8 divisors (see below), whose sum is σ = 10751941709600. Its totient is φ = 9672706970640.

The previous prime is 10212212102069. The next prime is 10212212102153. The reversal of 10212212102101 is 10120121221201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10212212102101 - 2⁵ = 10212212102069 is a prime.

It is a super-2 number, since 2×10212212102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212212103101) 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 7 ways as a sum of consecutive naturals, for example, 56025615 + ... + 56207596.

It is an arithmetic number, because the mean of its divisors is an integer number (1343992713700).

Almost surely, 2^{10212212102101} is an apocalyptic number.

It is an amenable number.

10212212102101 is a deficient number, since it is larger than the sum of its proper divisors (539729607499).

10212212102101 is a wasteful number, since it uses less digits than its factorization.

10212212102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112238019.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10212212102101 its reverse (10120121221201), we get a palindrome (20332333323302).

The spelling of 10212212102101 in words is "ten trillion, two hundred twelve billion, two hundred twelve million, one hundred two thousand, one hundred one".