101010100011030 has 144 divisors (see below), whose sum is σ = 306233148901680. Its totient is φ = 23032919758464.

The previous prime is 101010100011001. The next prime is 101010100011031. The reversal of 101010100011030 is 30110001010101.

It is a super-2 number, since 2×101010100011030² (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010100011031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25484889 + ... + 29180468.

It is an arithmetic number, because the mean of its divisors is an integer number (2126619089595).

Almost surely, 2^{101010100011030} is an apocalyptic number.

101010100011030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101010100011030 is an abundant number, since it is smaller than the sum of its proper divisors (205223048890650).

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

101010100011030 is a wasteful number, since it uses less digits than its factorization.

101010100011030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54665803 (or 54665793 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 101010100011030 its reverse (30110001010101), we get a palindrome (131120101021131).

The spelling of 101010100011030 in words is "one hundred one trillion, ten billion, one hundred million, eleven thousand, thirty".