101101121012 has 12 divisors (see below), whose sum is σ = 176960628516. Its totient is φ = 50540941440.

The previous prime is 101101120997. The next prime is 101101121053. The reversal of 101101121012 is 210121101101.

It can be written as a sum of positive squares in 2 ways, for example, as 69255290896 + 31845830116 = 263164^2 + 178454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101101120984 and 101101121002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2381093 + ... + 2423180.

It is an arithmetic number, because the mean of its divisors is an integer number (14746719043).

Almost surely, 2^101101121012 is an apocalyptic number.

It is an amenable number.

101101121012 is a deficient number, since it is larger than the sum of its proper divisors (75859507504).

101101121012 is a wasteful number, since it uses less digits than its factorization.

101101121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809538 (or 4809536 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101101121012 its reverse (210121101101), we get a palindrome (311222222113).

The spelling of 101101121012 in words is "one hundred one billion, one hundred one million, one hundred twenty-one thousand, twelve".