100121201000010 has 64 divisors (see below), whose sum is σ = 270647264856960. Its totient is φ = 26333247381120.

The previous prime is 100121200999999. The next prime is 100121201000027. The reversal of 100121201000010 is 10000102121001.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100121200999956 and 100121201000001.

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, 2539838256 + ... + 2539877675.

It is an arithmetic number, because the mean of its divisors is an integer number (4228863513390).

Almost surely, 2^{100121201000010} is an apocalyptic number.

100121201000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121201000010 is an abundant number, since it is smaller than the sum of its proper divisors (170526063856950).

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

100121201000010 is a wasteful number, since it uses less digits than its factorization.

100121201000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079716020 (or 5079716014 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100121201000010 its reverse (10000102121001), we get a palindrome (110121303121011).

The spelling of 100121201000010 in words is "one hundred trillion, one hundred twenty-one billion, two hundred one million, ten", and thus it is an aban number.