1012002122010 has 128 divisors (see below), whose sum is σ = 2712402671616. Its totient is φ = 239524266240.

The previous prime is 1012002121987. The next prime is 1012002122029. The reversal of 1012002122010 is 102212002101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35503324 + ... + 35531816.

It is an arithmetic number, because the mean of its divisors is an integer number (21190645872).

Almost surely, 2^{1012002122010} is an apocalyptic number.

1012002122010 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 1012002122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356201335808).

1012002122010 is an abundant number, since it is smaller than the sum of its proper divisors (1700400549606).

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

1012002122010 is a wasteful number, since it uses less digits than its factorization.

1012002122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31060.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012002122010 its reverse (102212002101), we get a palindrome (1114214124111).

The spelling of 1012002122010 in words is "one trillion, twelve billion, two million, one hundred twenty-two thousand, ten".