101102221011000 has 256 divisors, whose sum is σ = 344131206981120. Its totient is φ = 24508488960000.

The previous prime is 101102221010983. The next prime is 101102221011013. The reversal of 101102221011000 is 110122201101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 870184912 + ... + 870301088.

It is an arithmetic number, because the mean of its divisors is an integer number (1344262527270).

Almost surely, 2^{101102221011000} is an apocalyptic number.

101102221011000 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 101102221011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172065603490560).

101102221011000 is an abundant number, since it is smaller than the sum of its proper divisors (243028985970120).

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

101102221011000 is a wasteful number, since it uses less digits than its factorization.

101102221011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142583 (or 142569 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101102221011000 its reverse (110122201101), we get a palindrome (101212343212101).

It can be divided in two parts, 1011022 and 21011000, that added together give a palindrome (22022022).

The spelling of 101102221011000 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-one million, eleven thousand".