101221142592 has 112 divisors (see below), whose sum is σ = 269818412864. Its totient is φ = 33488640000.

The previous prime is 101221142591. The next prime is 101221142593. The reversal of 101221142592 is 295241122101.

It is an interprime number because it is at equal distance from previous prime (101221142591) and next prime (101221142593).

It is not an unprimeable number, because it can be changed into a prime (101221142591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19840842 + ... + 19845942.

It is an arithmetic number, because the mean of its divisors is an integer number (2409092972).

Almost surely, 2^101221142592 is an apocalyptic number.

101221142592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134909206432).

101221142592 is an abundant number, since it is smaller than the sum of its proper divisors (168597270272).

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

101221142592 is a wasteful number, since it uses less digits than its factorization.

101221142592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5868 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 101221142592 its reverse (295241122101), we get a palindrome (396462264693).

The spelling of 101221142592 in words is "one hundred one billion, two hundred twenty-one million, one hundred forty-two thousand, five hundred ninety-two".