1010111106000 has 80 divisors (see below), whose sum is σ = 3256598225088. Its totient is φ = 269362960000.

The previous prime is 1010111105977. The next prime is 1010111106091. The reversal of 1010111106000 is 6011110101.

1010111106000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84169926 + ... + 84181925.

Almost surely, 2^{1010111106000} is an apocalyptic number.

1010111106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010111106000 is an abundant number, since it is smaller than the sum of its proper divisors (2246487119088).

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

1010111106000 is a wasteful number, since it uses less digits than its factorization.

1010111106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168351877 (or 168351861 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1010111106000 its reverse (6011110101), we get a palindrome (1016122216101).

It can be divided in two parts, 1010111 and 106000, that added together give a palindrome (1116111).

The spelling of 1010111106000 in words is "one trillion, ten billion, one hundred eleven million, one hundred six thousand".