1022102000010 has 576 divisors, whose sum is σ = 3464987041152. Its totient is φ = 214868795904.

The previous prime is 1022101999987. The next prime is 1022102000047. The reversal of 1022102000010 is 100002012201.

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 = 1022101999956 and 1022102000001.

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, 490686429 + ... + 490688511.

It is an arithmetic number, because the mean of its divisors is an integer number (6015602502).

Almost surely, 2^{1022102000010} is an apocalyptic number.

1022102000010 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 1022102000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732493520576).

1022102000010 is an abundant number, since it is smaller than the sum of its proper divisors (2442885041142).

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

1022102000010 is a wasteful number, since it uses less digits than its factorization.

1022102000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2430 counting only the distinct ones).

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

Adding to 1022102000010 its reverse (100002012201), we get a palindrome (1122104012211).

The spelling of 1022102000010 in words is "one trillion, twenty-two billion, one hundred two million, ten", and thus it is an aban number.