201554101455102 has 144 divisors (see below), whose sum is σ = 514679059177920. Its totient is φ = 56756586332160.

The previous prime is 201554101455089. The next prime is 201554101455139.

201554101455102 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 541 + 0 + 1 + 4 + 5 + 5 + 102 = 666.

201554101455102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31528003 + ... + 37378110.

It is an arithmetic number, because the mean of its divisors is an integer number (3574160133180).

Almost surely, 2^{201554101455102} is an apocalyptic number.

201554101455102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201554101455102 is an abundant number, since it is smaller than the sum of its proper divisors (313124957722818).

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

201554101455102 is a wasteful number, since it uses less digits than its factorization.

201554101455102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68906239 (or 68906225 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 201554101455102 in words is "two hundred one trillion, five hundred fifty-four billion, one hundred one million, four hundred fifty-five thousand, one hundred two".