1001101012112 has 10 divisors (see below), whose sum is σ = 1939633210998. Its totient is φ = 500550506048.

The previous prime is 1001101012097. The next prime is 1001101012123. The reversal of 1001101012112 is 2112101011001.

It can be written as a sum of positive squares in only one way, i.e., 726613037056 + 274487975056 = 852416^2 + 523916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001101012093 and 1001101012102.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31284406613 + ... + 31284406644.

Almost surely, 2^{1001101012112} is an apocalyptic number.

It is an amenable number.

1001101012112 is a deficient number, since it is larger than the sum of its proper divisors (938532198886).

1001101012112 is an equidigital number, since it uses as much as digits as its factorization.

1001101012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62568813265 (or 62568813259 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001101012112 its reverse (2112101011001), we get a palindrome (3113202023113).

The spelling of 1001101012112 in words is "one trillion, one billion, one hundred one million, twelve thousand, one hundred twelve".