100121021010000 has 450 divisors, whose sum is σ = 366023109470018. Its totient is φ = 25538103360000.

The previous prime is 100121021009993. The next prime is 100121021010011. The reversal of 100121021010000 is 10120121001.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 8646563774016 + 91474457235984 = 2940504^2 + 9564228^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×100121021010000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 46558530 + ... + 48661470.

Almost surely, 2^{100121021010000} is an apocalyptic number.

100121021010000 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 100121021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183011554735009).

100121021010000 is an abundant number, since it is smaller than the sum of its proper divisors (265902088460018).

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

100121021010000 is a wasteful number, since it uses less digits than its factorization.

100121021010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103021 (or 2102974 counting only the distinct ones).

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

Adding to 100121021010000 its reverse (10120121001), we get a palindrome (100131141131001).

The spelling of 100121021010000 in words is "one hundred trillion, one hundred twenty-one billion, twenty-one million, ten thousand".