1020012102100 has 36 divisors (see below), whose sum is σ = 2213514630684. Its totient is φ = 407988551680.

The previous prime is 1020012102077. The next prime is 1020012102121. The reversal of 1020012102100 is 12012100201.

It can be written as a sum of positive squares in 6 ways, for example, as 105548313924 + 914463788176 = 324882^2 + 956276^2 .

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2491092 + ... + 2871508.

It is an arithmetic number, because the mean of its divisors is an integer number (61486517519).

Almost surely, 2^{1020012102100} is an apocalyptic number.

1020012102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020012102100 is an abundant number, since it is smaller than the sum of its proper divisors (1193502528584).

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

1020012102100 is a wasteful number, since it uses less digits than its factorization.

1020012102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407244 (or 407237 counting only the distinct ones).

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

Adding to 1020012102100 its reverse (12012100201), we get a palindrome (1032024202301).

The spelling of 1020012102100 in words is "one trillion, twenty billion, twelve million, one hundred two thousand, one hundred".