1020201101010 has 576 divisors, whose sum is σ = 3532592044800. Its totient is φ = 198369368064.

The previous prime is 1020201101009. The next prime is 1020201101027. The reversal of 1020201101010 is 101011020201.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020201100983 and 1020201101001.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 213027696 + ... + 213032484.

It is an arithmetic number, because the mean of its divisors is an integer number (6132972300).

Almost surely, 2^{1020201101010} is an apocalyptic number.

1020201101010 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 1020201101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766296022400).

1020201101010 is an abundant number, since it is smaller than the sum of its proper divisors (2512390943790).

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

1020201101010 is a wasteful number, since it uses less digits than its factorization.

1020201101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020201101010 its reverse (101011020201), we get a palindrome (1121212121211).

It can be divided in two parts, 1020201 and 101010, that added together give a palindrome (1121211).

The spelling of 1020201101010 in words is "one trillion, twenty billion, two hundred one million, one hundred one thousand, ten".