121153161456100 has 144 divisors (see below), whose sum is σ = 283201560537280. Its totient is φ = 44838795456000.

The previous prime is 121153161456079. The next prime is 121153161456101. The reversal of 121153161456100 is 1654161351121.

It is a self number, because there is not a number n which added to its sum of digits gives 121153161456100.

It is not an unprimeable number, because it can be changed into a prime (121153161456101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 955908334 + ... + 956035066.

Almost surely, 2^{121153161456100} is an apocalyptic number.

121153161456100 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 121153161456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141600780268640).

121153161456100 is an abundant number, since it is smaller than the sum of its proper divisors (162048399081180).

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

121153161456100 is a wasteful number, since it uses less digits than its factorization.

121153161456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138510 (or 138503 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 121153161456100 in words is "one hundred twenty-one trillion, one hundred fifty-three billion, one hundred sixty-one million, four hundred fifty-six thousand, one hundred".