102020201000 has 192 divisors, whose sum is σ = 246201312240. Its totient is φ = 39559680000.

The previous prime is 102020200949. The next prime is 102020201039. The reversal of 102020201000 is 102020201.

It can be written as a sum of positive squares in 24 ways, for example, as 347225956 + 101672975044 = 18634^2 + 318862^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744672932 + ... + 744673068.

Almost surely, 2^102020201000 is an apocalyptic number.

102020201000 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 102020201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123100656120).

102020201000 is an abundant number, since it is smaller than the sum of its proper divisors (144181111240).

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

102020201000 is a wasteful number, since it uses less digits than its factorization.

102020201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 318 counting only the distinct ones).

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

Adding to 102020201000 its reverse (102020201), we get a palindrome (102122221201).

102020201000 divided by its reverse (102020201) gives a cube (1000 = 10³).

The spelling of 102020201000 in words is "one hundred two billion, twenty million, two hundred one thousand".