101002020122101 has 8 divisors (see below), whose sum is σ = 115432084678464. Its totient is φ = 86572256700480.

The previous prime is 101002020122077. The next prime is 101002020122189. The reversal of 101002020122101 is 101221020200101.

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 101002020122101 - 2²⁷ = 101001885904373 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 (101002020122701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74564500 + ... + 75906973.

It is an arithmetic number, because the mean of its divisors is an integer number (14429010584808).

Almost surely, 2^{101002020122101} is an apocalyptic number.

It is an amenable number.

101002020122101 is a deficient number, since it is larger than the sum of its proper divisors (14430064556363).

101002020122101 is an equidigital number, since it uses as much as digits as its factorization.

101002020122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150567371.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101002020122101 its reverse (101221020200101), we get a palindrome (202223040322202).

The spelling of 101002020122101 in words is "one hundred one trillion, two billion, twenty million, one hundred twenty-two thousand, one hundred one".