101121121012 has 24 divisors (see below), whose sum is σ = 188068071240. Its totient is φ = 47409500160.

The previous prime is 101121121007. The next prime is 101121121033. The reversal of 101121121012 is 210121121101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2251122916 + 98869998096 = 47446^2 + 314436^2 .

It is a super-2 number, since 2×101121121012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121120983 and 101121121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2745789 + ... + 2782372.

It is an arithmetic number, because the mean of its divisors is an integer number (7836169635).

Almost surely, 2^101121121012 is an apocalyptic number.

It is an amenable number.

101121121012 is a deficient number, since it is larger than the sum of its proper divisors (86946950228).

101121121012 is a wasteful number, since it uses less digits than its factorization.

101121121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528451 (or 5528449 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101121121012 its reverse (210121121101), we get a palindrome (311242242113).

The spelling of 101121121012 in words is "one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, twelve".