101102121120 has 1536 divisors, whose sum is σ = 452205379584. Its totient is φ = 18466652160.

The previous prime is 101102121089. The next prime is 101102121137. The reversal of 101102121120 is 21121201101.

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 = 101102121096 and 101102121105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2151108937 + ... + 2151108983.

It is an arithmetic number, because the mean of its divisors is an integer number (294404544).

Almost surely, 2^101102121120 is an apocalyptic number.

101102121120 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 101102121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226102689792).

101102121120 is an abundant number, since it is smaller than the sum of its proper divisors (351103258464).

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

101102121120 is a wasteful number, since it uses less digits than its factorization.

101102121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

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

Adding to 101102121120 its reverse (21121201101), we get a palindrome (122223322221).

It can be divided in two parts, 101102 and 121120, that added together give a palindrome (222222).

The spelling of 101102121120 in words is "one hundred one billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty".