100100001011010 has 576 divisors, whose sum is σ = 339046571021184. Its totient is φ = 18681062400000.

The previous prime is 100100001010963. The next prime is 100100001011063. The reversal of 100100001011010 is 10110100001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

100100001011010 is a modest number, since divided by 1011010 gives 1001000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100100001011010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 100616010 + ... + 101606010.

It is an arithmetic number, because the mean of its divisors is an integer number (588622519134).

Almost surely, 2^{100100001011010} is an apocalyptic number.

100100001011010 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 100100001011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169523285510592).

100100001011010 is an abundant number, since it is smaller than the sum of its proper divisors (238946570010174).

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

100100001011010 is a wasteful number, since it uses less digits than its factorization.

100100001011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990099 (or 990079 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100001011010 its reverse (10110100001001), we get a palindrome (110210101012011).

The spelling of 100100001011010 in words is "one hundred trillion, one hundred billion, one million, eleven thousand, ten".