101102011101120 has 112 divisors (see below), whose sum is σ = 321197160032640. Its totient is φ = 26943883293696.

The previous prime is 101102011101071. The next prime is 101102011101173. The reversal of 101102011101120 is 21101110201101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101102011101096 and 101102011101105.

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, 30970342 + ... + 34078821.

Almost surely, 2^{101102011101120} is an apocalyptic number.

101102011101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102011101120 is an abundant number, since it is smaller than the sum of its proper divisors (220095148931520).

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

101102011101120 is a wasteful number, since it uses less digits than its factorization.

101102011101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65050802 (or 65050792 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101102011101120 its reverse (21101110201101), we get a palindrome (122203121302221).

The spelling of 101102011101120 in words is "one hundred one trillion, one hundred two billion, eleven million, one hundred one thousand, one hundred twenty".