202101020010 has 384 divisors, whose sum is σ = 613334592000. Its totient is φ = 45869193216.

The previous prime is 202101019993. The next prime is 202101020027. The reversal of 202101020010 is 10020101202.

202101020010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202101019993) and next prime (202101020027).

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 = 202101019974 and 202101020001.

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 191 ways as a sum of consecutive naturals, for example, 42198696 + ... + 42203484.

It is an arithmetic number, because the mean of its divisors is an integer number (1597225500).

Almost surely, 2^202101020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202101020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306667296000).

202101020010 is an abundant number, since it is smaller than the sum of its proper divisors (411233571990).

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

202101020010 is a wasteful number, since it uses less digits than its factorization.

202101020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4907 counting only the distinct ones).

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

Adding to 202101020010 its reverse (10020101202), we get a palindrome (212121121212).

The spelling of 202101020010 in words is "two hundred two billion, one hundred one million, twenty thousand, ten".