102021020010 has 192 divisors, whose sum is σ = 326676430080. Its totient is φ = 21511526400.

The previous prime is 102021019999. The next prime is 102021020053. The reversal of 102021020010 is 10020120201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102021019974 and 102021020001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17433585 + ... + 17439435.

It is an arithmetic number, because the mean of its divisors is an integer number (1701439740).

Almost surely, 2^102021020010 is an apocalyptic number.

102021020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163338215040).

102021020010 is an abundant number, since it is smaller than the sum of its proper divisors (224655410070).

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

102021020010 is a wasteful number, since it uses less digits than its factorization.

102021020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8013 (or 8010 counting only the distinct ones).

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

Adding to 102021020010 its reverse (10020120201), we get a palindrome (112041140211).

The spelling of 102021020010 in words is "one hundred two billion, twenty-one million, twenty thousand, ten".