100010110110100 has 36 divisors (see below), whose sum is σ = 217626456952800. Its totient is φ = 39892612152160.

The previous prime is 100010110110083. The next prime is 100010110110137. The reversal of 100010110110100 is 1011011010001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1392862570 + ... + 1392934369.

It is an arithmetic number, because the mean of its divisors is an integer number (6045179359800).

Almost surely, 2^{100010110110100} is an apocalyptic number.

100010110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010110110100 is an abundant number, since it is smaller than the sum of its proper divisors (117616346842700).

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

100010110110100 is a wasteful number, since it uses less digits than its factorization.

100010110110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785797312 (or 2785797305 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100010110110100 its reverse (1011011010001), we get a palindrome (101021121120101).

The spelling of 100010110110100 in words is "one hundred trillion, ten billion, one hundred ten million, one hundred ten thousand, one hundred".