101012000020001 has 16 divisors (see below), whose sum is σ = 118260547171200. Its totient is φ = 84468110939520.

The previous prime is 101012000019971. The next prime is 101012000020003. The reversal of 101012000020001 is 100020000210101.

It is not a de Polignac number, because 101012000020001 - 2¹⁰ = 101012000018977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101012000020003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9312275 + ... + 16992423.

It is an arithmetic number, because the mean of its divisors is an integer number (7391284198200).

Almost surely, 2^{101012000020001} is an apocalyptic number.

It is an amenable number.

101012000020001 is a deficient number, since it is larger than the sum of its proper divisors (17248547151199).

101012000020001 is an equidigital number, since it uses as much as digits as its factorization.

101012000020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726024.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101012000020001 its reverse (100020000210101), we get a palindrome (201032000230102).

The spelling of 101012000020001 in words is "one hundred one trillion, twelve billion, twenty thousand, one".