101100222011120 has 40 divisors (see below), whose sum is σ = 235058452863120. Its totient is φ = 40440013675520.

The previous prime is 101100222011027. The next prime is 101100222011123. The reversal of 101100222011120 is 21110222001101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 101100222011095 and 101100222011104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100222011123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66112760 + ... + 67624680.

It is an arithmetic number, because the mean of its divisors is an integer number (5876461321578).

Almost surely, 2^{101100222011120} is an apocalyptic number.

101100222011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100222011120 is an abundant number, since it is smaller than the sum of its proper divisors (133958230852000).

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

101100222011120 is a wasteful number, since it uses less digits than its factorization.

101100222011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347793 (or 2347787 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101100222011120 its reverse (21110222001101), we get a palindrome (122210444012221).

The spelling of 101100222011120 in words is "one hundred one trillion, one hundred billion, two hundred twenty-two million, eleven thousand, one hundred twenty".