101010002220192 has 96 divisors (see below), whose sum is σ = 285549566645952. Its totient is φ = 31079776425984.

The previous prime is 101010002220187. The next prime is 101010002220209. The reversal of 101010002220192 is 291022200010101.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282139923 + ... + 282497709.

It is an arithmetic number, because the mean of its divisors is an integer number (2974474652562).

Almost surely, 2^{101010002220192} is an apocalyptic number.

101010002220192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101010002220192 is an abundant number, since it is smaller than the sum of its proper divisors (184539564425760).

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

101010002220192 is a wasteful number, since it uses less digits than its factorization.

101010002220192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584030 (or 584022 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101010002220192 its reverse (291022200010101), we get a palindrome (392032202230293).

The spelling of 101010002220192 in words is "one hundred one trillion, ten billion, two million, two hundred twenty thousand, one hundred ninety-two".