101102021001 has 6 divisors (see below), whose sum is σ = 146036252570. Its totient is φ = 67401347328.

The previous prime is 101102020997. The next prime is 101102021029. The reversal of 101102021001 is 100120201101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 69791072400 + 31310948601 = 264180^2 + 176949^2 .

It is not a de Polignac number, because 101102021001 - 2² = 101102020997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11233557889 = 101102021001 / (1 + 0 + 1 + 1 + 0 + 2 + 0 + 2 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102021051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5616778936 + ... + 5616778953.

Almost surely, 2^101102021001 is an apocalyptic number.

It is an amenable number.

101102021001 is a deficient number, since it is larger than the sum of its proper divisors (44934231569).

101102021001 is a wasteful number, since it uses less digits than its factorization.

101102021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233557895 (or 11233557892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101102021001 its reverse (100120201101), we get a palindrome (201222222102).

The spelling of 101102021001 in words is "one hundred one billion, one hundred two million, twenty-one thousand, one".