101345411776450 has 48 divisors (see below), whose sum is σ = 196699918970880. Its totient is φ = 38775301931520.

The previous prime is 101345411776417. The next prime is 101345411776451. The reversal of 101345411776450 is 54677114543101.

It is a super-3 number, since 3×101345411776450³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101345411776394 and 101345411776403.

It is not an unprimeable number, because it can be changed into a prime (101345411776451) 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, 164299711 + ... + 164915389.

It is an arithmetic number, because the mean of its divisors is an integer number (4097914978560).

Almost surely, 2^{101345411776450} is an apocalyptic number.

101345411776450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101345411776450 is a deficient number, since it is larger than the sum of its proper divisors (95354507194430).

101345411776450 is a wasteful number, since it uses less digits than its factorization.

101345411776450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758851 (or 758846 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 101345411776450 in words is "one hundred one trillion, three hundred forty-five billion, four hundred eleven million, seven hundred seventy-six thousand, four hundred fifty".