11010101040 has 160 divisors (see below), whose sum is σ = 38197555200. Its totient is φ = 2914824960.

The previous prime is 11010100991. The next prime is 11010101041. The reversal of 11010101040 is 4010101011.

It is a super-2 number, since 2×11010101040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11010101041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281905 + ... + 318575.

It is an arithmetic number, because the mean of its divisors is an integer number (238734720).

Almost surely, 2^11010101040 is an apocalyptic number.

11010101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19098777600).

11010101040 is an abundant number, since it is smaller than the sum of its proper divisors (27187454160).

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

11010101040 is a wasteful number, since it uses less digits than its factorization.

11010101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36832 (or 36820 counting only the distinct ones).

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

Adding to 11010101040 its reverse (4010101011), we get a palindrome (15020202051).

The spelling of 11010101040 in words is "eleven billion, ten million, one hundred one thousand, forty".