11002010012010 has 192 divisors, whose sum is σ = 31045522644864. Its totient is φ = 2692298649600.

The previous prime is 11002010011999. The next prime is 11002010012029. The reversal of 11002010012010 is 1021001020011.

It is a happy number.

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 = 11002010011983 and 11002010012001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104518305 + ... + 104623515.

It is an arithmetic number, because the mean of its divisors is an integer number (161695430442).

Almost surely, 2^{11002010012010} is an apocalyptic number.

11002010012010 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 11002010012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15522761322432).

11002010012010 is an abundant number, since it is smaller than the sum of its proper divisors (20043512632854).

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

11002010012010 is a wasteful number, since it uses less digits than its factorization.

11002010012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106949 (or 106946 counting only the distinct ones).

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

Adding to 11002010012010 its reverse (1021001020011), we get a palindrome (12023011032021).

The spelling of 11002010012010 in words is "eleven trillion, two billion, ten million, twelve thousand, ten".