10211102002101 has 32 divisors (see below), whose sum is σ = 18280014778368. Its totient is φ = 4896432527040.

The previous prime is 10211102002093. The next prime is 10211102002109. The reversal of 10211102002101 is 10120020111201.

It is an interprime number because it is at equal distance from previous prime (10211102002093) and next prime (10211102002109).

It is not a de Polignac number, because 10211102002101 - 2³ = 10211102002093 is a prime.

It is a super-2 number, since 2×10211102002101² (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 (10211102002109) 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, 1700147181 + ... + 1700153186.

It is an arithmetic number, because the mean of its divisors is an integer number (571250461824).

Almost surely, 2^{10211102002101} is an apocalyptic number.

10211102002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211102002101 is a deficient number, since it is larger than the sum of its proper divisors (8068912776267).

10211102002101 is a wasteful number, since it uses less digits than its factorization.

10211102002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400300401.

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

Adding to 10211102002101 its reverse (10120020111201), we get a palindrome (20331122113302).

The spelling of 10211102002101 in words is "ten trillion, two hundred eleven billion, one hundred two million, two thousand, one hundred one".