101001009999950 has 48 divisors (see below), whose sum is σ = 198918225766944. Its totient is φ = 38022829900800.

The previous prime is 101001009999919. The next prime is 101001009999983. The reversal of 101001009999950 is 59999900100101.

It is a junction number, because it is equal to n+sod(n) for n = 101001009999892 and 101001009999901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28583042 + ... + 31921658.

It is an arithmetic number, because the mean of its divisors is an integer number (4144129703478).

Almost surely, 2^{101001009999950} is an apocalyptic number.

101001009999950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001009999950 is a deficient number, since it is larger than the sum of its proper divisors (97917215766994).

101001009999950 is a wasteful number, since it uses less digits than its factorization.

101001009999950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374237 (or 3374232 counting only the distinct ones).

The product of its (nonzero) digits is 295245, while the sum is 53.

The spelling of 101001009999950 in words is "one hundred one trillion, one billion, nine million, nine hundred ninety-nine thousand, nine hundred fifty".