20102010002101 has 4 divisors (see below), whose sum is σ = 20301039804204. Its totient is φ = 19902980200000.

The previous prime is 20102010002089. The next prime is 20102010002153. The reversal of 20102010002101 is 10120001020102.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8212437090225 + 11889572911876 = 2865735^2 + 3448126^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102010002101 - 2²⁵ = 20101976447669 is a prime.

It is a super-2 number, since 2×20102010002101² (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 (20102010002201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99514900900 + ... + 99514901101.

It is an arithmetic number, because the mean of its divisors is an integer number (5075259951051).

Almost surely, 2^{20102010002101} is an apocalyptic number.

It is an amenable number.

20102010002101 is a deficient number, since it is larger than the sum of its proper divisors (199029802103).

20102010002101 is a wasteful number, since it uses less digits than its factorization.

20102010002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199029802102.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20102010002101 its reverse (10120001020102), we get a palindrome (30222011022203).

The spelling of 20102010002101 in words is "twenty trillion, one hundred two billion, ten million, two thousand, one hundred one".