10201122121002 has 16 divisors (see below), whose sum is σ = 20402615966400. Its totient is φ = 3400312086272.

The previous prime is 10201122120991. The next prime is 10201122121013. The reversal of 10201122121002 is 20012122110201.

It is an interprime number because it is at equal distance from previous prime (10201122120991) and next prime (10201122121013).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15131127 + ... + 15790922.

It is an arithmetic number, because the mean of its divisors is an integer number (1275163497900).

Almost surely, 2^{10201122121002} is an apocalyptic number.

10201122121002 is an abundant number, since it is smaller than the sum of its proper divisors (10201493845398).

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

10201122121002 is a wasteful number, since it uses less digits than its factorization.

10201122121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30977037.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10201122121002 its reverse (20012122110201), we get a palindrome (30213244231203).

The spelling of 10201122121002 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, two".