2110211101020 has 192 divisors, whose sum is σ = 6907770326016. Its totient is φ = 476099205120.

The previous prime is 2110211101013. The next prime is 2110211101111. The reversal of 2110211101020 is 201011120112.

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

It is a junction number, because it is equal to n+sod(n) for n = 2110211100987 and 2110211101005.

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 63 ways as a sum of consecutive naturals, for example, 1316889 + ... + 2440208.

It is an arithmetic number, because the mean of its divisors is an integer number (35977970448).

Almost surely, 2^{2110211101020} is an apocalyptic number.

2110211101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110211101020 is an abundant number, since it is smaller than the sum of its proper divisors (4797559224996).

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

2110211101020 is a wasteful number, since it uses less digits than its factorization.

2110211101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757180 (or 3757178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2110211101020 its reverse (201011120112), we get a palindrome (2311222221132).

The spelling of 2110211101020 in words is "two trillion, one hundred ten billion, two hundred eleven million, one hundred one thousand, twenty".