2101012100020 has 48 divisors (see below), whose sum is σ = 4682451585168. Its totient is φ = 789142487040.

The previous prime is 2101012099997. The next prime is 2101012100107. The reversal of 2101012100020 is 200012101012.

It can be written as a sum of positive squares in 8 ways, for example, as 394399072144 + 1706613027876 = 628012^2 + 1306374^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6988401 + ... + 7282840.

It is an arithmetic number, because the mean of its divisors is an integer number (97551074691).

Almost surely, 2^{2101012100020} is an apocalyptic number.

2101012100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101012100020 is an abundant number, since it is smaller than the sum of its proper divisors (2581439485148).

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

2101012100020 is a wasteful number, since it uses less digits than its factorization.

2101012100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271700 (or 14271698 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2101012100020 its reverse (200012101012), we get a palindrome (2301024201032).

The spelling of 2101012100020 in words is "two trillion, one hundred one billion, twelve million, one hundred thousand, twenty".