101121222111120 has 200 divisors, whose sum is σ = 351219928428600. Its totient is φ = 26964819025920.

The previous prime is 101121222111113. The next prime is 101121222111199. The reversal of 101121222111120 is 21111222121101.

It is a happy number.

101121222111120 is a `hidden beast` number, since 101 + 1 + 212 + 221 + 11 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24435542605824 + 76685679505296 = 4943232^2 + 8757036^2 .

It is a super-2 number, since 2×101121222111120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101121222111093 and 101121222111102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 223651680 + ... + 224103360.

It is an arithmetic number, because the mean of its divisors is an integer number (1756099642143).

Almost surely, 2^{101121222111120} is an apocalyptic number.

101121222111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121222111120 is an abundant number, since it is smaller than the sum of its proper divisors (250098706317480).

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

101121222111120 is a wasteful number, since it uses less digits than its factorization.

101121222111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486255 (or 486240 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101121222111120 its reverse (21111222121101), we get a palindrome (122232444232221).

The spelling of 101121222111120 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty".