1100101012000 has 96 divisors (see below), whose sum is σ = 2768874164784. Its totient is φ = 429307648000.

The previous prime is 1100101011979. The next prime is 1100101012007. The reversal of 1100101012000 is 2101010011.

It can be written as a sum of positive squares in 8 ways, for example, as 48729679504 + 1051371332496 = 220748^2 + 1025364^2 .

It is not an unprimeable number, because it can be changed into a prime (1100101012007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3189967 + ... + 3517966.

Almost surely, 2^{1100101012000} is an apocalyptic number.

1100101012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100101012000 is an abundant number, since it is smaller than the sum of its proper divisors (1668773152784).

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

1100101012000 is an equidigital number, since it uses as much as digits as its factorization.

1100101012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707999 (or 6707981 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1100101012000 its reverse (2101010011), we get a palindrome (1102202022011).

The spelling of 1100101012000 in words is "one trillion, one hundred billion, one hundred one million, twelve thousand".