100121012000100 has 1728 divisors, whose sum is σ = 400427868865024. Its totient is φ = 20360708259840.

The previous prime is 100121012000099. The next prime is 100121012000161. The reversal of 100121012000100 is 1000210121001.

It is a happy number.

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 575 ways as a sum of consecutive naturals, for example, 268420943514 + ... + 268420943886.

Almost surely, 2^{100121012000100} is an apocalyptic number.

100121012000100 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 100121012000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200213934432512).

100121012000100 is an abundant number, since it is smaller than the sum of its proper divisors (300306856864924).

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

100121012000100 is a wasteful number, since it uses less digits than its factorization.

100121012000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1036 counting only the distinct ones).

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

Adding to 100121012000100 its reverse (1000210121001), we get a palindrome (101121222121101).

The spelling of 100121012000100 in words is "one hundred trillion, one hundred twenty-one billion, twelve million, one hundred", and thus it is an aban number.