101102020011120 has 320 divisors, whose sum is σ = 321474652305408. Its totient is φ = 26277995520000.

The previous prime is 101102020011079. The next prime is 101102020011127. The reversal of 101102020011120 is 21110020201101.

It is a super-3 number, since 3×101102020011120³ (a number of 43 digits) contains 333 as substring.

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 = 101102020011096 and 101102020011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102020011127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565260105 + ... + 565438935.

Almost surely, 2^{101102020011120} is an apocalyptic number.

101102020011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102020011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160737326152704).

101102020011120 is an abundant number, since it is smaller than the sum of its proper divisors (220372632294288).

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

101102020011120 is a wasteful number, since it uses less digits than its factorization.

101102020011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179312 (or 179306 counting only the distinct ones).

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

Adding to 101102020011120 its reverse (21110020201101), we get a palindrome (122212040212221).

The spelling of 101102020011120 in words is "one hundred one trillion, one hundred two billion, twenty million, eleven thousand, one hundred twenty".