20010012101001 has 24 divisors (see below), whose sum is σ = 32957666993160. Its totient is φ = 11589509270016.

The previous prime is 20010012100973. The next prime is 20010012101029. The reversal of 20010012101001 is 10010121001002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20010012100973) and next prime (20010012101029).

It can be written as a sum of positive squares in 4 ways, for example, as 8558556101001 + 11451456000000 = 2925501^2 + 3384000^2 .

It is not a de Polignac number, because 20010012101001 - 2¹¹ = 20010012098953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20010012102001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5030166966 + ... + 5030170943.

It is an arithmetic number, because the mean of its divisors is an integer number (1373236124715).

Almost surely, 2^{20010012101001} is an apocalyptic number.

It is an amenable number.

20010012101001 is a deficient number, since it is larger than the sum of its proper divisors (12947654892159).

20010012101001 is a wasteful number, since it uses less digits than its factorization.

20010012101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10060337945 (or 10060337942 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20010012101001 its reverse (10010121001002), we get a palindrome (30020133102003).

The spelling of 20010012101001 in words is "twenty trillion, ten billion, twelve million, one hundred one thousand, one".