101000202000101 has 12 divisors (see below), whose sum is σ = 102020507100612. Its totient is φ = 99990099990000.

The previous prime is 101000202000079. The next prime is 101000202000127.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

101000202000101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 77756242202500 + 23243959797601 = 8817950^2 + 4821199^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101000202000101 is a prime.

It is a super-2 number, since 2×101000202000101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000202050101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10201005251 + ... + 10201015151.

It is an arithmetic number, because the mean of its divisors is an integer number (8501708925051).

Almost surely, 2^{101000202000101} is an apocalyptic number.

It is an amenable number.

101000202000101 is a deficient number, since it is larger than the sum of its proper divisors (1020305100511).

101000202000101 is an frugal number, since it uses more digits than its factorization.

101000202000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20105 (or 10002 counting only the distinct ones).

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

It can be divided in two parts, 10100020 and 2000101, that added together give a palindrome (12100121).

The spelling of 101000202000101 in words is "one hundred one trillion, two hundred two million, one hundred one", and thus it is an aban number.