1010221001010 has 224 divisors, whose sum is σ = 3007691710128. Its totient is φ = 242603735040.

The previous prime is 1010221000979. The next prime is 1010221001021. The reversal of 1010221001010 is 101001220101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6331225761 + 1003889775249 = 79569^2 + 1001943^2 .

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 = 1010221000983 and 1010221001001.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3755574 + ... + 4015566.

Almost surely, 2^{1010221001010} is an apocalyptic number.

1010221001010 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 1010221001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503845855064).

1010221001010 is an abundant number, since it is smaller than the sum of its proper divisors (1997470709118).

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

1010221001010 is a wasteful number, since it uses less digits than its factorization.

1010221001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260072 (or 260057 counting only the distinct ones).

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

Adding to 1010221001010 its reverse (101001220101), we get a palindrome (1111222221111).

The spelling of 1010221001010 in words is "one trillion, ten billion, two hundred twenty-one million, one thousand, ten".