101000100020101 has 16 divisors (see below), whose sum is σ = 104036979494448. Its totient is φ = 97990547558400.

The previous prime is 101000100020077. The next prime is 101000100020137. The reversal of 101000100020101 is 101020001000101.

It can be written as a sum of positive squares in 8 ways, for example, as 16536666240900 + 84463433779201 = 4066530^2 + 9190399^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000100020101 - 2⁵ = 101000100020069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000100020801) 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, 672393661 + ... + 672543853.

It is an arithmetic number, because the mean of its divisors is an integer number (6502311218403).

Almost surely, 2^{101000100020101} is an apocalyptic number.

It is an amenable number.

101000100020101 is a deficient number, since it is larger than the sum of its proper divisors (3036879474347).

101000100020101 is a wasteful number, since it uses less digits than its factorization.

101000100020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241032.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101000100020101 its reverse (101020001000101), we get a palindrome (202020101020202).

The spelling of 101000100020101 in words is "one hundred one trillion, one hundred million, twenty thousand, one hundred one".