101102002100022 has 32 divisors (see below), whose sum is σ = 252098498744064. Its totient is φ = 26260260285600.

The previous prime is 101102002100017. The next prime is 101102002100041. The reversal of 101102002100022 is 220001200201101.

101102002100022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101102002100022² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102002099980 and 101102002100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109417750729 + ... + 109417751652.

It is an arithmetic number, because the mean of its divisors is an integer number (7878078085752).

Almost surely, 2^{101102002100022} is an apocalyptic number.

101102002100022 is an abundant number, since it is smaller than the sum of its proper divisors (150996496644042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101102002100022 is a wasteful number, since it uses less digits than its factorization.

101102002100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218835502404.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101102002100022 its reverse (220001200201101), we get a palindrome (321103202301123).

The spelling of 101102002100022 in words is "one hundred one trillion, one hundred two billion, two million, one hundred thousand, twenty-two".