10011011201010 has 128 divisors (see below), whose sum is σ = 26777861280000. Its totient is φ = 2661432178176.

The previous prime is 10011011201003. The next prime is 10011011201021. The reversal of 10011011201010 is 1010211011001.

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 = 10011011200983 and 10011011201001.

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, 118713841 + ... + 118798139.

It is an arithmetic number, because the mean of its divisors is an integer number (209202041250).

Almost surely, 2^{10011011201010} is an apocalyptic number.

10011011201010 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 10011011201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13388930640000).

10011011201010 is an abundant number, since it is smaller than the sum of its proper divisors (16766850078990).

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

10011011201010 is a wasteful number, since it uses less digits than its factorization.

10011011201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85657 (or 85651 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011011201010 its reverse (1010211011001), we get a palindrome (11021222212011).

The spelling of 10011011201010 in words is "ten trillion, eleven billion, eleven million, two hundred one thousand, ten".