101126688627350 has 48 divisors (see below), whose sum is σ = 195732161000640. Its totient is φ = 38840301645600.

The previous prime is 101126688627257. The next prime is 101126688627359. The reversal of 101126688627350 is 53726886621101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101126688627359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398480516 + ... + 398734215.

It is an arithmetic number, because the mean of its divisors is an integer number (4077753354180).

Almost surely, 2^{101126688627350} is an apocalyptic number.

101126688627350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101126688627350 is a deficient number, since it is larger than the sum of its proper divisors (94605472373290).

101126688627350 is a wasteful number, since it uses less digits than its factorization.

101126688627350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797214845 (or 797214840 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 101126688627350 in words is "one hundred one trillion, one hundred twenty-six billion, six hundred eighty-eight million, six hundred twenty-seven thousand, three hundred fifty".