101002001010101 has 8 divisors (see below), whose sum is σ = 101674010265600. Its totient is φ = 100331483452560.

The previous prime is 101002001010083. The next prime is 101002001010107. The reversal of 101002001010101 is 101010100200101.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002001010101 is a prime.

It is a Duffinian number.

101002001010101 is a modest number, since divided by 1010101 gives 1010020 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002001010107) 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, 372788621 + ... + 373059458.

It is an arithmetic number, because the mean of its divisors is an integer number (12709251283200).

Almost surely, 2^{101002001010101} is an apocalyptic number.

It is an amenable number.

101002001010101 is a deficient number, since it is larger than the sum of its proper divisors (672009255499).

101002001010101 is an equidigital number, since it uses as much as digits as its factorization.

101002001010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745848979.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101002001010101 its reverse (101010100200101), we get a palindrome (202012101210202).

The spelling of 101002001010101 in words is "one hundred one trillion, two billion, one million, ten thousand, one hundred one".