101102000021001 has 24 divisors (see below), whose sum is σ = 168116777247744. Its totient is φ = 57350873833920.

The previous prime is 101102000020943. The next prime is 101102000021023. The reversal of 101102000021001 is 100120000201101.

It is a happy number.

It is not a de Polignac number, because 101102000021001 - 2¹⁵ = 101101999988233 is a prime.

It is a super-2 number, since 2×101102000021001² (a number of 29 digits) contains 22 as substring.

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 (101102000021201) 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, 5856902505 + ... + 5856919766.

It is an arithmetic number, because the mean of its divisors is an integer number (7004865718656).

Almost surely, 2^{101102000021001} is an apocalyptic number.

It is an amenable number.

101102000021001 is a deficient number, since it is larger than the sum of its proper divisors (67014777226743).

101102000021001 is a wasteful number, since it uses less digits than its factorization.

101102000021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11713822421 (or 11713822418 counting only the distinct ones).

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

Adding to 101102000021001 its reverse (100120000201101), we get a palindrome (201222000222102).

The spelling of 101102000021001 in words is "one hundred one trillion, one hundred two billion, twenty-one thousand, one".