101101121022120 has 32 divisors (see below), whose sum is σ = 303303363066720. Its totient is φ = 26960298939200.

The previous prime is 101101121022107. The next prime is 101101121022127. The reversal of 101101121022120 is 21220121101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101101121022120.

It is not an unprimeable number, because it can be changed into a prime (101101121022127) 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, 421254670806 + ... + 421254671045.

It is an arithmetic number, because the mean of its divisors is an integer number (9478230095835).

Almost surely, 2^{101101121022120} is an apocalyptic number.

101101121022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101121022120 is an abundant number, since it is smaller than the sum of its proper divisors (202202242044600).

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

101101121022120 is a wasteful number, since it uses less digits than its factorization.

101101121022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842509341865 (or 842509341861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101101121022120 its reverse (21220121101101), we get a palindrome (122321242123221).

The spelling of 101101121022120 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty".