101918149814950 has 192 divisors, whose sum is σ = 221046712819200. Its totient is φ = 34238061849600.

The previous prime is 101918149814851. The next prime is 101918149814951. The reversal of 101918149814950 is 59418941819101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101918149814951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15629217690 + ... + 15629224210.

It is an arithmetic number, because the mean of its divisors is an integer number (1151284962600).

Almost surely, 2^{101918149814950} is an apocalyptic number.

101918149814950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101918149814950 is an abundant number, since it is smaller than the sum of its proper divisors (119128563004250).

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

101918149814950 is a wasteful number, since it uses less digits than its factorization.

101918149814950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975 (or 8970 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 61.

The spelling of 101918149814950 in words is "one hundred one trillion, nine hundred eighteen billion, one hundred forty-nine million, eight hundred fourteen thousand, nine hundred fifty".