101011111001100 has 90 divisors (see below), whose sum is σ = 327438116267724. Its totient is φ = 26936296264800.

The previous prime is 101011111001081. The next prime is 101011111001131. The reversal of 101011111001100 is 1100111110101.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6235245666 + ... + 6235261865.

Almost surely, 2^{101011111001100} is an apocalyptic number.

101011111001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011111001100 is an abundant number, since it is smaller than the sum of its proper divisors (226427005266624).

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

101011111001100 is a wasteful number, since it uses less digits than its factorization.

101011111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12470507557 (or 12470507541 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101011111001100 its reverse (1100111110101), we get a palindrome (102111222111201).

The spelling of 101011111001100 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one thousand, one hundred".