101020100001 has 16 divisors (see below), whose sum is σ = 138345066624. Its totient is φ = 65521229184.

The previous prime is 101020099933. The next prime is 101020100017. The reversal of 101020100001 is 100001020101.

It is not a de Polignac number, because 101020100001 - 2²⁹ = 100483229089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101020100021) 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, 1703221 + ... + 1761533.

It is an arithmetic number, because the mean of its divisors is an integer number (8646566664).

Almost surely, 2^101020100001 is an apocalyptic number.

It is an amenable number.

101020100001 is a deficient number, since it is larger than the sum of its proper divisors (37324966623).

101020100001 is a wasteful number, since it uses less digits than its factorization.

101020100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73960.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101020100001 its reverse (100001020101), we get a palindrome (201021120102).

The spelling of 101020100001 in words is "one hundred one billion, twenty million, one hundred thousand, one".