1001101012010 has 32 divisors (see below), whose sum is σ = 1965863716992. Its totient is φ = 364024626880.

The previous prime is 1001101012007. The next prime is 1001101012013. The reversal of 1001101012010 is 102101011001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1001101012007) and next prime (1001101012013).

It is not an unprimeable number, because it can be changed into a prime (1001101012013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3590552 + ... + 3859308.

It is an arithmetic number, because the mean of its divisors is an integer number (61433241156).

Almost surely, 2^{1001101012010} is an apocalyptic number.

1001101012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001101012010 is a deficient number, since it is larger than the sum of its proper divisors (964762704982).

1001101012010 is a wasteful number, since it uses less digits than its factorization.

1001101012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302638.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001101012010 its reverse (102101011001), we get a palindrome (1103202023011).

The spelling of 1001101012010 in words is "one trillion, one billion, one hundred one million, twelve thousand, ten".