100221012231000 has 128 divisors (see below), whose sum is σ = 312773222361600. Its totient is φ = 26718452476800.

The previous prime is 100221012230957. The next prime is 100221012231023. The reversal of 100221012231000 is 132210122001.

It is a super-2 number, since 2×100221012231000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 6749629 + ... + 15684371.

It is an arithmetic number, because the mean of its divisors is an integer number (2443540799700).

Almost surely, 2^{100221012231000} is an apocalyptic number.

100221012231000 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 100221012231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156386611180800).

100221012231000 is an abundant number, since it is smaller than the sum of its proper divisors (212552210130600).

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

100221012231000 is a wasteful number, since it uses less digits than its factorization.

100221012231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8938506 (or 8938492 counting only the distinct ones).

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

Adding to 100221012231000 its reverse (132210122001), we get a palindrome (100353222353001).

The spelling of 100221012231000 in words is "one hundred trillion, two hundred twenty-one billion, twelve million, two hundred thirty-one thousand".