110100010100490 has 256 divisors, whose sum is σ = 316046810880000. Its totient is φ = 27190533869568.

The previous prime is 110100010100489. The next prime is 110100010100491. The reversal of 110100010100490 is 94001010001011.

It is an interprime number because it is at equal distance from previous prime (110100010100489) and next prime (110100010100491).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110100010100491) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53161834 + ... + 55194026.

It is an arithmetic number, because the mean of its divisors is an integer number (1234557855000).

Almost surely, 2^{110100010100490} is an apocalyptic number.

110100010100490 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 110100010100490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158023405440000).

110100010100490 is an abundant number, since it is smaller than the sum of its proper divisors (205946800779510).

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

110100010100490 is a wasteful number, since it uses less digits than its factorization.

110100010100490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032466 (or 2032460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 110100010100490 in words is "one hundred ten trillion, one hundred billion, ten million, one hundred thousand, four hundred ninety".