2101212122100 has 576 divisors, whose sum is σ = 7676959309824. Its totient is φ = 431957422080.

The previous prime is 2101212122099. The next prime is 2101212122137. The reversal of 2101212122100 is 12212121012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101212122100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165404349 + ... + 165417051.

Almost surely, 2^{2101212122100} is an apocalyptic number.

2101212122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101212122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838479654912).

2101212122100 is an abundant number, since it is smaller than the sum of its proper divisors (5575747187724).

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

2101212122100 is a wasteful number, since it uses less digits than its factorization.

2101212122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12896 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2101212122100 its reverse (12212121012), we get a palindrome (2113424243112).

The spelling of 2101212122100 in words is "two trillion, one hundred one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".