1020200102100 has 54 divisors (see below), whose sum is σ = 3197760545070. Its totient is φ = 272053360320.

The previous prime is 1020200102093. The next prime is 1020200102107. The reversal of 1020200102100 is 12010020201.

It is an interprime number because it is at equal distance from previous prime (1020200102093) and next prime (1020200102107).

It can be written as a sum of positive squares in 3 ways, for example, as 18431320644 + 1001768781456 = 135762^2 + 1000884^2 .

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 (1020200102107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 566776935 + ... + 566778734.

Almost surely, 2^{1020200102100} is an apocalyptic number.

1020200102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020200102100 is an abundant number, since it is smaller than the sum of its proper divisors (2177560442970).

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

1020200102100 is a wasteful number, since it uses less digits than its factorization.

1020200102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133555689 (or 1133555679 counting only the distinct ones).

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

Adding to 1020200102100 its reverse (12010020201), we get a palindrome (1032210122301).

The spelling of 1020200102100 in words is "one trillion, twenty billion, two hundred million, one hundred two thousand, one hundred".