101000120120101 has 8 divisors (see below), whose sum is σ = 104258549659904. Its totient is φ = 97741713152160.

The previous prime is 101000120120089. The next prime is 101000120120113. The reversal of 101000120120101 is 101021021000101.

It is an interprime number because it is at equal distance from previous prime (101000120120089) and next prime (101000120120113).

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 101000120120101 - 2²⁷ = 100999985902373 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 (101000120120401) 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, 3695950 + ... + 14685376.

It is an arithmetic number, because the mean of its divisors is an integer number (13032318707488).

Almost surely, 2^{101000120120101} is an apocalyptic number.

It is an amenable number.

101000120120101 is a deficient number, since it is larger than the sum of its proper divisors (3258429539803).

101000120120101 is a wasteful number, since it uses less digits than its factorization.

101000120120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11285931.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101000120120101 its reverse (101021021000101), we get a palindrome (202021141120202).

The spelling of 101000120120101 in words is "one hundred one trillion, one hundred twenty million, one hundred twenty thousand, one hundred one".