20010122101002 has 32 divisors (see below), whose sum is σ = 44090710098624. Its totient is φ = 6003636992000.

The previous prime is 20010122100973. The next prime is 20010122101061.

20010122101002 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 1500902583 + ... + 1500915914.

It is an arithmetic number, because the mean of its divisors is an integer number (1377834690582).

Almost surely, 2^{20010122101002} is an apocalyptic number.

20010122101002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20010122101002 is an abundant number, since it is smaller than the sum of its proper divisors (24080587997622).

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

20010122101002 is a wasteful number, since it uses less digits than its factorization.

20010122101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001818614.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 2001012 and 2101002, that added together give a palindrome (4102014).

The spelling of 20010122101002 in words is "twenty trillion, ten billion, one hundred twenty-two million, one hundred one thousand, two".