1012020002100 has 180 divisors, whose sum is σ = 3325510281324. Its totient is φ = 266174968320.

The previous prime is 1012020002083. The next prime is 1012020002101. The reversal of 1012020002100 is 12000202101.

It can be written as a sum of positive squares in 6 ways, for example, as 74326026384 + 937693975716 = 272628^2 + 968346^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012020002101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 264459 + ... + 1447058.

Almost surely, 2^{1012020002100} is an apocalyptic number.

1012020002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012020002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662755140662).

1012020002100 is an abundant number, since it is smaller than the sum of its proper divisors (2313490279224).

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

1012020002100 is a wasteful number, since it uses less digits than its factorization.

1012020002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711616 (or 1711600 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1012020002100 its reverse (12000202101), we get a palindrome (1024020204201).

The spelling of 1012020002100 in words is "one trillion, twelve billion, twenty million, two thousand, one hundred".