101022201221000 has 128 divisors (see below), whose sum is σ = 249353140608000. Its totient is φ = 38202172992000.

The previous prime is 101022201220979. The next prime is 101022201221017. The reversal of 101022201221000 is 122102220101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3550940 + ... + 14651060.

It is an arithmetic number, because the mean of its divisors is an integer number (1948071411000).

Almost surely, 2^{101022201221000} is an apocalyptic number.

101022201221000 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 101022201221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124676570304000).

101022201221000 is an abundant number, since it is smaller than the sum of its proper divisors (148330939387000).

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

101022201221000 is a wasteful number, since it uses less digits than its factorization.

101022201221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100640 (or 11100626 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101022201221000 its reverse (122102220101), we get a palindrome (101144303441101).

The spelling of 101022201221000 in words is "one hundred one trillion, twenty-two billion, two hundred one million, two hundred twenty-one thousand".