20102002210101 has 64 divisors (see below), whose sum is σ = 31625740763136. Its totient is φ = 11120053248000.

The previous prime is 20102002210067. The next prime is 20102002210127. The reversal of 20102002210101 is 10101220020102.

It is not a de Polignac number, because 20102002210101 - 2²¹ = 20102000112949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102002210201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34436181 + ... + 35015061.

It is an arithmetic number, because the mean of its divisors is an integer number (494152199424).

Almost surely, 2^{20102002210101} is an apocalyptic number.

20102002210101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20102002210101 is a deficient number, since it is larger than the sum of its proper divisors (11523738553035).

20102002210101 is a wasteful number, since it uses less digits than its factorization.

20102002210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579322.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20102002210101 its reverse (10101220020102), we get a palindrome (30203222230203).

The spelling of 20102002210101 in words is "twenty trillion, one hundred two billion, two million, two hundred ten thousand, one hundred one".