10010010110100 has 576 divisors, whose sum is σ = 39119488192512. Its totient is φ = 1908495360000.

The previous prime is 10010010110059. The next prime is 10010010110137. The reversal of 10010010110100 is 101101001001.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

10010010110100 is a modest number, since divided by 10110100 gives 100100 as remainder.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 50050300 + ... + 50249900.

It is an arithmetic number, because the mean of its divisors is an integer number (67915778112).

Almost surely, 2^{10010010110100} is an apocalyptic number.

10010010110100 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 10010010110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19559744096256).

10010010110100 is an abundant number, since it is smaller than the sum of its proper divisors (29109478082412).

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

10010010110100 is a wasteful number, since it uses less digits than its factorization.

10010010110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199816 (or 199809 counting only the distinct ones).

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

Adding to 10010010110100 its reverse (101101001001), we get a palindrome (10111111111101).

The spelling of 10010010110100 in words is "ten trillion, ten billion, ten million, one hundred ten thousand, one hundred".