101121002001120 has 192 divisors, whose sum is σ = 337361626921536. Its totient is φ = 25372364636160.

The previous prime is 101121002001109. The next prime is 101121002001143. The reversal of 101121002001120 is 21100200121101.

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 = 101121002001096 and 101121002001105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27801660 + ... + 31227780.

It is an arithmetic number, because the mean of its divisors is an integer number (1757091806883).

Almost surely, 2^{101121002001120} is an apocalyptic number.

101121002001120 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 101121002001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168680813460768).

101121002001120 is an abundant number, since it is smaller than the sum of its proper divisors (236240624920416).

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

101121002001120 is a wasteful number, since it uses less digits than its factorization.

101121002001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429773 (or 3429765 counting only the distinct ones).

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

Adding to 101121002001120 its reverse (21100200121101), we get a palindrome (122221202122221).

The spelling of 101121002001120 in words is "one hundred one trillion, one hundred twenty-one billion, two million, one thousand, one hundred twenty".