1056051011100 has 72 divisors (see below), whose sum is σ = 3078832192128. Its totient is φ = 279463870400.

The previous prime is 1056051011089. The next prime is 1056051011129. The reversal of 1056051011100 is 11101506501.

It is a happy number.

It is a super-2 number, since 2×1056051011100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13396464 + ... + 13475063.

It is an arithmetic number, because the mean of its divisors is an integer number (42761558224).

Almost surely, 2^{1056051011100} is an apocalyptic number.

1056051011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056051011100 is an abundant number, since it is smaller than the sum of its proper divisors (2022781181028).

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

1056051011100 is a wasteful number, since it uses less digits than its factorization.

1056051011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26871675 (or 26871668 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 1056051011100 its reverse (11101506501), we get a palindrome (1067152517601).

The spelling of 1056051011100 in words is "one trillion, fifty-six billion, fifty-one million, eleven thousand, one hundred".