2100020101128 has 320 divisors, whose sum is σ = 6354879798960. Its totient is φ = 645444993024.

The previous prime is 2100020101121. The next prime is 2100020101139. The reversal of 2100020101128 is 8211010200012.

It can be written as a sum of positive squares in 8 ways, for example, as 784957016484 + 1315063084644 = 885978^2 + 1146762^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2100020101128.

It is not an unprimeable number, because it can be changed into a prime (2100020101121) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 465324600 + ... + 465329112.

Almost surely, 2^{2100020101128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100020101128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177439899480).

2100020101128 is an abundant number, since it is smaller than the sum of its proper divisors (4254859697832).

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

2100020101128 is a wasteful number, since it uses less digits than its factorization.

2100020101128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 2100020101128 in words is "two trillion, one hundred billion, twenty million, one hundred one thousand, one hundred twenty-eight".