101102002211109 has 32 divisors (see below), whose sum is σ = 142051085890560. Its totient is φ = 63784810540800.

The previous prime is 101102002211099. The next prime is 101102002211129. The reversal of 101102002211109 is 901112200201101.

It is not a de Polignac number, because 101102002211109 - 2¹³ = 101102002202917 is a prime.

It is a super-2 number, since 2×101102002211109² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102002211129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1474465144 + ... + 1474533710.

It is an arithmetic number, because the mean of its divisors is an integer number (4439096434080).

Almost surely, 2^{101102002211109} is an apocalyptic number.

101102002211109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

101102002211109 is a deficient number, since it is larger than the sum of its proper divisors (40949083679451).

101102002211109 is a wasteful number, since it uses less digits than its factorization.

101102002211109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96201.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 101102002211109 in words is "one hundred one trillion, one hundred two billion, two million, two hundred eleven thousand, one hundred nine".