100220001201000 has 96 divisors (see below), whose sum is σ = 338743604089800. Its totient is φ = 26725333651200.

The previous prime is 100220001200953. The next prime is 100220001201029. The reversal of 100220001201000 is 102100022001.

It can be written as a sum of positive squares in 4 ways, for example, as 26723089235844 + 73496911965156 = 5169438^2 + 8573034^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5567768845 + ... + 5567786844.

Almost surely, 2^{100220001201000} is an apocalyptic number.

100220001201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220001201000 is an abundant number, since it is smaller than the sum of its proper divisors (238523602888800).

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

100220001201000 is a wasteful number, since it uses less digits than its factorization.

100220001201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135555716 (or 11135555699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100220001201000 its reverse (102100022001), we get a palindrome (100322101223001).

The spelling of 100220001201000 in words is "one hundred trillion, two hundred twenty billion, one million, two hundred one thousand".