1012122011001 has 32 divisors (see below), whose sum is σ = 1377472158720. Its totient is φ = 660807785664.

The previous prime is 1012122010997. The next prime is 1012122011009. The reversal of 1012122011001 is 1001102212101.

It is not a de Polignac number, because 1012122011001 - 2² = 1012122010997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012122011009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310560510 + ... + 310563768.

It is an arithmetic number, because the mean of its divisors is an integer number (43046004960).

Almost surely, 2^{1012122011001} is an apocalyptic number.

It is an amenable number.

1012122011001 is a deficient number, since it is larger than the sum of its proper divisors (365350147719).

1012122011001 is a wasteful number, since it uses less digits than its factorization.

1012122011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012122011001 its reverse (1001102212101), we get a palindrome (2013224223102).

The spelling of 1012122011001 in words is "one trillion, twelve billion, one hundred twenty-two million, eleven thousand, one".