101001111100100 has 36 divisors (see below), whose sum is σ = 220129495901700. Its totient is φ = 40224023276160.

The previous prime is 101001111100063. The next prime is 101001111100151. The reversal of 101001111100100 is 1001111100101.

It can be written as a sum of positive squares in 6 ways, for example, as 206217708544 + 100794893391556 = 454112^2 + 10039666^2 .

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, 2205241535 + ... + 2205287334.

Almost surely, 2^{101001111100100} is an apocalyptic number.

101001111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001111100100 is an abundant number, since it is smaller than the sum of its proper divisors (119128384801600).

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

101001111100100 is a wasteful number, since it uses less digits than its factorization.

101001111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410529112 (or 4410529105 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101001111100100 its reverse (1001111100101), we get a palindrome (102002222200201).

Subtracting from 101001111100100 its reverse (1001111100101), we obtain a palindrome (99999999999999).

It can be divided in two parts, 10100111 and 1100100, that added together give a palindrome (11200211).

The spelling of 101001111100100 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred thousand, one hundred".