100440212132100 has 144 divisors (see below), whose sum is σ = 294814500664320. Its totient is φ = 26396562729600.

The previous prime is 100440212132089. The next prime is 100440212132129. The reversal of 100440212132100 is 1231212044001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54018489 + ... + 55846911.

It is an arithmetic number, because the mean of its divisors is an integer number (2047322921280).

Almost surely, 2^{100440212132100} is an apocalyptic number.

100440212132100 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 100440212132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147407250332160).

100440212132100 is an abundant number, since it is smaller than the sum of its proper divisors (194374288532220).

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

100440212132100 is a wasteful number, since it uses less digits than its factorization.

100440212132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831090 (or 1831083 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100440212132100 its reverse (1231212044001), we get a palindrome (101671424176101).

The spelling of 100440212132100 in words is "one hundred trillion, four hundred forty billion, two hundred twelve million, one hundred thirty-two thousand, one hundred".