1001022102010 has 72 divisors (see below), whose sum is σ = 2212140963060. Its totient is φ = 325143963648.

The previous prime is 1001022102007. The next prime is 1001022102023. The reversal of 1001022102010 is 102012201001.

It can be written as a sum of positive squares in 2 ways, for example, as 1000586085849 + 436016161 = 1000293^2 + 20881^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 35 ways as a sum of consecutive naturals, for example, 2652615 + ... + 3006394.

Almost surely, 2^{1001022102010} is an apocalyptic number.

1001022102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001022102010 is an abundant number, since it is smaller than the sum of its proper divisors (1211118861050).

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

1001022102010 is a wasteful number, since it uses less digits than its factorization.

1001022102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659068 (or 5659042 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001022102010 its reverse (102012201001), we get a palindrome (1103034303011).

The spelling of 1001022102010 in words is "one trillion, one billion, twenty-two million, one hundred two thousand, ten".