101002010112101 has 8 divisors (see below), whose sum is σ = 115609278084480. Its totient is φ = 86439344485968.

The previous prime is 101002010112077. The next prime is 101002010112119. The reversal of 101002010112101 is 101211010200101.

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

It is a cyclic number.

It is not a de Polignac number, because 101002010112101 - 2²² = 101002005917797 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 (101002010112151) 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, 11150581706 + ... + 11150590763.

It is an arithmetic number, because the mean of its divisors is an integer number (14451159760560).

Almost surely, 2^{101002010112101} is an apocalyptic number.

It is an amenable number.

101002010112101 is a deficient number, since it is larger than the sum of its proper divisors (14607267972379).

101002010112101 is an equidigital number, since it uses as much as digits as its factorization.

101002010112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22301173123.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101002010112101 its reverse (101211010200101), we get a palindrome (202213020312202).

The spelling of 101002010112101 in words is "one hundred one trillion, two billion, ten million, one hundred twelve thousand, one hundred one".