101000002000101 has 8 divisors (see below), whose sum is σ = 140521741913280. Its totient is φ = 64405798376832.

The previous prime is 101000002000039. The next prime is 101000002000123. The reversal of 101000002000101 is 101000200000101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101000002000101 - 2²² = 100999997805797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000002000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000002000901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731884072396 + ... + 731884072533.

It is an arithmetic number, because the mean of its divisors is an integer number (17565217739160).

Almost surely, 2^{101000002000101} is an apocalyptic number.

It is an amenable number.

101000002000101 is a deficient number, since it is larger than the sum of its proper divisors (39521739913179).

101000002000101 is a wasteful number, since it uses less digits than its factorization.

101000002000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463768144955.

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

Adding to 101000002000101 its reverse (101000200000101), we get a palindrome (202000202000202).

The spelling of 101000002000101 in words is "one hundred one trillion, two million, one hundred one", and thus it is an aban number.