1011012011100 has 288 divisors, whose sum is σ = 4000267299840. Its totient is φ = 213312372480.

The previous prime is 1011012011083. The next prime is 1011012011123. The reversal of 1011012011100 is 11102101101.

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

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 95 ways as a sum of consecutive naturals, for example, 1811712 + ... + 2303111.

Almost surely, 2^{1011012011100} is an apocalyptic number.

1011012011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011012011100 is an abundant number, since it is smaller than the sum of its proper divisors (2989255288740).

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

1011012011100 is a wasteful number, since it uses less digits than its factorization.

1011012011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114866 (or 4114853 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011012011100 its reverse (11102101101), we get a palindrome (1022114112201).

Subtracting from 1011012011100 its reverse (11102101101), we obtain a palindrome (999909909999).

The spelling of 1011012011100 in words is "one trillion, eleven billion, twelve million, eleven thousand, one hundred".