101120100102201 has 16 divisors (see below), whose sum is σ = 135494077268480. Its totient is φ = 67080041291520.

The previous prime is 101120100102191. The next prime is 101120100102209. The reversal of 101120100102201 is 102201001021101.

It is not a de Polignac number, because 101120100102201 - 2¹³ = 101120100094009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101120100102209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33526786 + ... + 36418203.

It is an arithmetic number, because the mean of its divisors is an integer number (8468379829280).

Almost surely, 2^{101120100102201} is an apocalyptic number.

It is an amenable number.

101120100102201 is a deficient number, since it is larger than the sum of its proper divisors (34373977166279).

101120100102201 is a wasteful number, since it uses less digits than its factorization.

101120100102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69947376.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120100102201 its reverse (102201001021101), we get a palindrome (203321101123302).

The spelling of 101120100102201 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, one hundred two thousand, two hundred one".