2001102102100 has 36 divisors (see below), whose sum is σ = 4385385559548. Its totient is φ = 792515680000.

The previous prime is 2001102102007. The next prime is 2001102102101. The reversal of 2001102102100 is 12012011002.

It can be written as a sum of positive squares in 6 ways, for example, as 5177378116 + 1995924723984 = 71954^2 + 1412772^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001102102101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99054361 + ... + 99074560.

It is an arithmetic number, because the mean of its divisors is an integer number (121816265543).

Almost surely, 2^{2001102102100} is an apocalyptic number.

2001102102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001102102100 is an abundant number, since it is smaller than the sum of its proper divisors (2384283457448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001102102100 is a wasteful number, since it uses less digits than its factorization.

2001102102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198129036 (or 198129029 counting only the distinct ones).

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

Adding to 2001102102100 its reverse (12012011002), we get a palindrome (2013114113102).

The spelling of 2001102102100 in words is "two trillion, one billion, one hundred two million, one hundred two thousand, one hundred".