1001101102000 has 40 divisors (see below), whose sum is σ = 2420662469472. Its totient is φ = 400440440000.

The previous prime is 1001101101971. The next prime is 1001101102007. The reversal of 1001101102000 is 2011011001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1001101102000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001101102007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250273276 + ... + 250277275.

Almost surely, 2^{1001101102000} is an apocalyptic number.

1001101102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001101102000 is an abundant number, since it is smaller than the sum of its proper divisors (1419561367472).

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

1001101102000 is an equidigital number, since it uses as much as digits as its factorization.

1001101102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500550574 (or 500550558 counting only the distinct ones).

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

Adding to 1001101102000 its reverse (2011011001), we get a palindrome (1003112113001).

Subtracting from 1001101102000 its reverse (2011011001), we obtain a palindrome (999090090999).

The spelling of 1001101102000 in words is "one trillion, one billion, one hundred one million, one hundred two thousand".