100012201220100 has 432 divisors, whose sum is σ = 319952436858432. Its totient is φ = 24103792926720.

The previous prime is 100012201220033. The next prime is 100012201220149. The reversal of 100012201220100 is 1022102210001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 506952079 + ... + 507149321.

It is an arithmetic number, because the mean of its divisors is an integer number (740630640876).

Almost surely, 2^{100012201220100} is an apocalyptic number.

100012201220100 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 100012201220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159976218429216).

100012201220100 is an abundant number, since it is smaller than the sum of its proper divisors (219940235638332).

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

100012201220100 is a wasteful number, since it uses less digits than its factorization.

100012201220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197496 (or 197476 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100012201220100 its reverse (1022102210001), we get a palindrome (101034303430101).

The spelling of 100012201220100 in words is "one hundred trillion, twelve billion, two hundred one million, two hundred twenty thousand, one hundred".