101540401002264 has 64 divisors (see below), whose sum is σ = 290121139238400. Its totient is φ = 29010972363264.

The previous prime is 101540401002197. The next prime is 101540401002301. The reversal of 101540401002264 is 462200104045101.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2655792 + ... + 14496000.

It is an arithmetic number, because the mean of its divisors is an integer number (4533142800600).

Almost surely, 2^{101540401002264} is an apocalyptic number.

101540401002264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101540401002264 is an abundant number, since it is smaller than the sum of its proper divisors (188580738236136).

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

101540401002264 is a wasteful number, since it uses less digits than its factorization.

101540401002264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11891272 (or 11891268 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 101540401002264 its reverse (462200104045101), we get a palindrome (563740505047365).

The spelling of 101540401002264 in words is "one hundred one trillion, five hundred forty billion, four hundred one million, two thousand, two hundred sixty-four".