101121201211936 has 48 divisors (see below), whose sum is σ = 199909007956224. Its totient is φ = 50351093743104.

The previous prime is 101121201211909. The next prime is 101121201211937. The reversal of 101121201211936 is 639112102121101.

It is a junction number, because it is equal to n+sod(n) for n = 101121201211898 and 101121201211907.

It is not an unprimeable number, because it can be changed into a prime (101121201211937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 668020 + ... + 14236876.

It is an arithmetic number, because the mean of its divisors is an integer number (4164770999088).

Almost surely, 2^{101121201211936} is an apocalyptic number.

101121201211936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101121201211936 is a deficient number, since it is larger than the sum of its proper divisors (98787806744288).

101121201211936 is a wasteful number, since it uses less digits than its factorization.

101121201211936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13569833 (or 13569825 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 101121201211936 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred eleven thousand, nine hundred thirty-six".