2100211122000 has 80 divisors (see below), whose sum is σ = 6771080676672. Its totient is φ = 560056297600.

The previous prime is 2100211121993. The next prime is 2100211122007. The reversal of 2100211122000 is 2211120012.

It is an interprime number because it is at equal distance from previous prime (2100211121993) and next prime (2100211122007).

It is a tau number, because it is divible by the number of its divisors (80).

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 (2100211122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175011594 + ... + 175023593.

Almost surely, 2^{2100211122000} is an apocalyptic number.

2100211122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100211122000 is an abundant number, since it is smaller than the sum of its proper divisors (4670869554672).

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

2100211122000 is a wasteful number, since it uses less digits than its factorization.

2100211122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350035213 (or 350035197 counting only the distinct ones).

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

Adding to 2100211122000 its reverse (2211120012), we get a palindrome (2102422242012).

The spelling of 2100211122000 in words is "two trillion, one hundred billion, two hundred eleven million, one hundred twenty-two thousand".