101102102001 has 24 divisors (see below), whose sum is σ = 147724166304. Its totient is φ = 66626426880.

The previous prime is 101102101993. The next prime is 101102102029. The reversal of 101102102001 is 100201201101.

It is a happy number.

It is not a de Polignac number, because 101102102001 - 2³ = 101102101993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101102102051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136170 + ... + 469836.

It is an arithmetic number, because the mean of its divisors is an integer number (6155173596).

Almost surely, 2^101102102001 is an apocalyptic number.

It is an amenable number.

101102102001 is a deficient number, since it is larger than the sum of its proper divisors (46622064303).

101102102001 is a wasteful number, since it uses less digits than its factorization.

101102102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334061 (or 334058 counting only the distinct ones).

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

Adding to 101102102001 its reverse (100201201101), we get a palindrome (201303303102).

The spelling of 101102102001 in words is "one hundred one billion, one hundred two million, one hundred two thousand, one".