20121002102100 has 36 divisors (see below), whose sum is σ = 58216766082944. Its totient is φ = 5365600560480.

The previous prime is 20121002102093. The next prime is 20121002102107. The reversal of 20121002102100 is 120120012102.

It is an interprime number because it is at equal distance from previous prime (20121002102093) and next prime (20121002102107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121002102107) 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, 33535003204 + ... + 33535003803.

Almost surely, 2^{20121002102100} is an apocalyptic number.

20121002102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121002102100 is an abundant number, since it is smaller than the sum of its proper divisors (38095763980844).

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

20121002102100 is a wasteful number, since it uses less digits than its factorization.

20121002102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67070007024 (or 67070007017 counting only the distinct ones).

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

Adding to 20121002102100 its reverse (120120012102), we get a palindrome (20241122114202).

The spelling of 20121002102100 in words is "twenty trillion, one hundred twenty-one billion, two million, one hundred two thousand, one hundred".