101102201021001 has 48 divisors (see below), whose sum is σ = 143570599286400. Its totient is φ = 63272237248512.

The previous prime is 101102201020979. The next prime is 101102201021011. The reversal of 101102201021001 is 100120102201101.

It is not a de Polignac number, because 101102201021001 - 2²⁷ = 101102066803273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101102201021011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570082620 + ... + 570259938.

It is an arithmetic number, because the mean of its divisors is an integer number (2991054151800).

Almost surely, 2^{101102201021001} is an apocalyptic number.

It is an amenable number.

101102201021001 is a deficient number, since it is larger than the sum of its proper divisors (42468398265399).

101102201021001 is a wasteful number, since it uses less digits than its factorization.

101102201021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179058 (or 179041 counting only the distinct ones).

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

Adding to 101102201021001 its reverse (100120102201101), we get a palindrome (201222303222102).

The spelling of 101102201021001 in words is "one hundred one trillion, one hundred two billion, two hundred one million, twenty-one thousand, one".