101102200001121 has 16 divisors (see below), whose sum is σ = 147699919028160. Its totient is φ = 61006488285120.

The previous prime is 101102200001057. The next prime is 101102200001149. The reversal of 101102200001121 is 121100002201101.

It is not a de Polignac number, because 101102200001121 - 2⁶ = 101102200001057 is a prime.

It is a super-2 number, since 2×101102200001121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102200001097 and 101102200001106.

It is not an unprimeable number, because it can be changed into a prime (101102200001921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6689300370 + ... + 6689315483.

It is an arithmetic number, because the mean of its divisors is an integer number (9231244939260).

Almost surely, 2^{101102200001121} is an apocalyptic number.

101102200001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102200001121 is a deficient number, since it is larger than the sum of its proper divisors (46597719027039).

101102200001121 is a wasteful number, since it uses less digits than its factorization.

101102200001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13378616096.

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

Adding to 101102200001121 its reverse (121100002201101), we get a palindrome (222202202202222).

The spelling of 101102200001121 in words is "one hundred one trillion, one hundred two billion, two hundred million, one thousand, one hundred twenty-one".