100220231121000 has 2048 divisors, whose sum is σ = 359198109204480. Its totient is φ = 23146905600000.

The previous prime is 100220231120941. The next prime is 100220231121079. The reversal of 100220231121000 is 121132022001.

It is a super-3 number, since 3×100220231121000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 511 ways as a sum of consecutive naturals, for example, 369816350865 + ... + 369816351135.

It is an arithmetic number, because the mean of its divisors is an integer number (175389701760).

Almost surely, 2^{100220231121000} is an apocalyptic number.

100220231121000 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 100220231121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179599054602240).

100220231121000 is an abundant number, since it is smaller than the sum of its proper divisors (258977878083480).

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

100220231121000 is a wasteful number, since it uses less digits than its factorization.

100220231121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100220231121000 its reverse (121132022001), we get a palindrome (100341363143001).

The spelling of 100220231121000 in words is "one hundred trillion, two hundred twenty billion, two hundred thirty-one million, one hundred twenty-one thousand".