2102100101002 has 32 divisors (see below), whose sum is σ = 3491277926400. Its totient is φ = 941255780400.

The previous prime is 2102100100967. The next prime is 2102100101009. The reversal of 2102100101002 is 2001010012012.

It is a self number, because there is not a number n which added to its sum of digits gives 2102100101002.

It is not an unprimeable number, because it can be changed into a prime (2102100101009) 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 15 ways as a sum of consecutive naturals, for example, 614574 + ... + 2140537.

It is an arithmetic number, because the mean of its divisors is an integer number (109102435200).

Almost surely, 2^{2102100101002} is an apocalyptic number.

2102100101002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2102100101002 is a deficient number, since it is larger than the sum of its proper divisors (1389177825398).

2102100101002 is a wasteful number, since it uses less digits than its factorization.

2102100101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755642.

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

Adding to 2102100101002 its reverse (2001010012012), we get a palindrome (4103110113014).

The spelling of 2102100101002 in words is "two trillion, one hundred two billion, one hundred million, one hundred one thousand, two".