10002102011010 has 64 divisors (see below), whose sum is σ = 26673604853760. Its totient is φ = 2667093920640.

The previous prime is 10002102011009. The next prime is 10002102011021. The reversal of 10002102011010 is 1011020120001.

It is a happy number.

It is a super-2 number, since 2×10002102011010² (a number of 27 digits) contains 22 as substring.

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 = 10002102010983 and 10002102011001.

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 31 ways as a sum of consecutive naturals, for example, 4547455 + ... + 6378365.

It is an arithmetic number, because the mean of its divisors is an integer number (416775075840).

Almost surely, 2^{10002102011010} is an apocalyptic number.

10002102011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002102011010 is an abundant number, since it is smaller than the sum of its proper divisors (16671502842750).

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

10002102011010 is a wasteful number, since it uses less digits than its factorization.

10002102011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851160 (or 1851154 counting only the distinct ones).

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

Adding to 10002102011010 its reverse (1011020120001), we get a palindrome (11013122131011).

The spelling of 10002102011010 in words is "ten trillion, two billion, one hundred two million, eleven thousand, ten".