101022222001000 has 128 divisors (see below), whose sum is σ = 236938867925760. Its totient is φ = 40315432608000.

The previous prime is 101022222000971. The next prime is 101022222001003. The reversal of 101022222001000 is 100222220101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101022222001003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4768112407 + ... + 4768133593.

It is an arithmetic number, because the mean of its divisors is an integer number (1851084905670).

Almost surely, 2^{101022222001000} is an apocalyptic number.

101022222001000 is a gapful number since it is divisible by the number (10) 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 101022222001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118469433962880).

101022222001000 is an abundant number, since it is smaller than the sum of its proper divisors (135916645924760).

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

101022222001000 is a wasteful number, since it uses less digits than its factorization.

101022222001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32012 (or 31998 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101022222001000 its reverse (100222220101), we get a palindrome (101122444221101).

The spelling of 101022222001000 in words is "one hundred one trillion, twenty-two billion, two hundred twenty-two million, one thousand".