1001121102106 has 32 divisors (see below), whose sum is σ = 1598917305600. Its totient is φ = 469359334080.

The previous prime is 1001121102089. The next prime is 1001121102127. The reversal of 1001121102106 is 6012011211001.

It is a super-2 number, since 2×1001121102106² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001121102106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1511400 + ... + 2070403.

It is an arithmetic number, because the mean of its divisors is an integer number (49966165800).

Almost surely, 2^{1001121102106} is an apocalyptic number.

1001121102106 is a deficient number, since it is larger than the sum of its proper divisors (597796203494).

1001121102106 is a wasteful number, since it uses less digits than its factorization.

1001121102106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581974.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1001121102106 its reverse (6012011211001), we get a palindrome (7013132313107).

The spelling of 1001121102106 in words is "one trillion, one billion, one hundred twenty-one million, one hundred two thousand, one hundred six".