10101110100100 has 18 divisors (see below), whose sum is σ = 21919408917434. Its totient is φ = 4040444040000.

The previous prime is 10101110100097. The next prime is 10101110100101. The reversal of 10101110100100 is 100101110101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3509485183044 + 6591624917056 = 1873362^2 + 2567416^2 .

It is not an unprimeable number, because it can be changed into a prime (10101110100101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50505550401 + ... + 50505550600.

Almost surely, 2^{10101110100100} is an apocalyptic number.

10101110100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101110100100 is an abundant number, since it is smaller than the sum of its proper divisors (11818298817334).

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

10101110100100 is a wasteful number, since it uses less digits than its factorization.

10101110100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101011101015 (or 101011101008 counting only the distinct ones).

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

Adding to 10101110100100 its reverse (100101110101), we get a palindrome (10201211210201).

The spelling of 10101110100100 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred thousand, one hundred".