110100121001010 has 192 divisors, whose sum is σ = 332536658148864. Its totient is φ = 24751787673600.

The previous prime is 110100121000943. The next prime is 110100121001011. The reversal of 110100121001010 is 10100121001011.

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 = 110100121000983 and 110100121001001.

It is not an unprimeable number, because it can be changed into a prime (110100121001011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 775331115 + ... + 775473105.

It is an arithmetic number, because the mean of its divisors is an integer number (1731961761192).

Almost surely, 2^{110100121001010} is an apocalyptic number.

110100121001010 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 110100121001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166268329074432).

110100121001010 is an abundant number, since it is smaller than the sum of its proper divisors (222436537147854).

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

110100121001010 is a wasteful number, since it uses less digits than its factorization.

110100121001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162249 (or 162246 counting only the distinct ones).

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

Adding to 110100121001010 its reverse (10100121001011), we get a palindrome (120200242002021).

Subtracting from 110100121001010 its reverse (10100121001011), we obtain a palindrome (99999999999999).

The spelling of 110100121001010 in words is "one hundred ten trillion, one hundred billion, one hundred twenty-one million, one thousand, ten".