10212021102101 has 32 divisors (see below), whose sum is σ = 13310039651328. Its totient is φ = 7603375288320.

The previous prime is 10212021102071. The next prime is 10212021102103. The reversal of 10212021102101 is 10120112021201.

It is not a de Polignac number, because 10212021102101 - 2¹⁰ = 10212021101077 is a prime.

It is a super-2 number, since 2×10212021102101² (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 (10212021102103) 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, 9516836 + ... + 10535378.

It is an arithmetic number, because the mean of its divisors is an integer number (415938739104).

Almost surely, 2^{10212021102101} is an apocalyptic number.

It is an amenable number.

10212021102101 is a deficient number, since it is larger than the sum of its proper divisors (3098018549227).

10212021102101 is a wasteful number, since it uses less digits than its factorization.

10212021102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025061.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10212021102101 its reverse (10120112021201), we get a palindrome (20332133123302).

The spelling of 10212021102101 in words is "ten trillion, two hundred twelve billion, twenty-one million, one hundred two thousand, one hundred one".