1020100202000 has 160 divisors (see below), whose sum is σ = 2717486748288. Its totient is φ = 367272000000.

The previous prime is 1020100201997. The next prime is 1020100202039. The reversal of 1020100202000 is 2020010201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1992455 + ... + 2451545.

Almost surely, 2^{1020100202000} is an apocalyptic number.

1020100202000 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 1020100202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358743374144).

1020100202000 is an abundant number, since it is smaller than the sum of its proper divisors (1697386546288).

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

1020100202000 is a wasteful number, since it uses less digits than its factorization.

1020100202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459226 (or 459210 counting only the distinct ones).

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

Adding to 1020100202000 its reverse (2020010201), we get a palindrome (1022120212201).

The spelling of 1020100202000 in words is "one trillion, twenty billion, one hundred million, two hundred two thousand".