101000020000101 has 16 divisors (see below), whose sum is σ = 138530493161664. Its totient is φ = 65407345686144.

The previous prime is 101000020000091. The next prime is 101000020000163.

101000020000101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101000020000101 - 2⁵ = 101000020000069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000020000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000020007101) 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, 737297875 + ... + 737434848.

It is an arithmetic number, because the mean of its divisors is an integer number (8658155822604).

Almost surely, 2^{101000020000101} is an apocalyptic number.

It is an amenable number.

101000020000101 is a deficient number, since it is larger than the sum of its proper divisors (37530473161563).

101000020000101 is a wasteful number, since it uses less digits than its factorization.

101000020000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474733380.

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

The spelling of 101000020000101 in words is "one hundred one trillion, twenty million, one hundred one", and thus it is an aban number.