101219421691648 has 144 divisors (see below), whose sum is σ = 227415977490240. Its totient is φ = 44612580114432.

The previous prime is 101219421691639. The next prime is 101219421691673. The reversal of 101219421691648 is 846196124912101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45842868 + ... + 48000076.

It is an arithmetic number, because the mean of its divisors is an integer number (1579277621460).

Almost surely, 2^{101219421691648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101219421691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113707988745120).

101219421691648 is an abundant number, since it is smaller than the sum of its proper divisors (126196555798592).

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

101219421691648 is a wasteful number, since it uses less digits than its factorization.

101219421691648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157874 (or 2157860 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 55.

The spelling of 101219421691648 in words is "one hundred one trillion, two hundred nineteen billion, four hundred twenty-one million, six hundred ninety-one thousand, six hundred forty-eight".