2102121122100 has 72 divisors (see below), whose sum is σ = 6100512438048. Its totient is φ = 558872054400.

The previous prime is 2102121122077. The next prime is 2102121122111. The reversal of 2102121122100 is 12211212012.

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 2102121122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10485399 + ... + 10683998.

Almost surely, 2^{2102121122100} is an apocalyptic number.

2102121122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102121122100 is an abundant number, since it is smaller than the sum of its proper divisors (3998391315948).

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

2102121122100 is a wasteful number, since it uses less digits than its factorization.

2102121122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21169745 (or 21169738 counting only the distinct ones).

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

Adding to 2102121122100 its reverse (12211212012), we get a palindrome (2114332334112).

The spelling of 2102121122100 in words is "two trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".