10000121000000 has 98 divisors (see below), whose sum is σ = 24804672613314. Its totient is φ = 4000048000000.

The previous prime is 10000120999969. The next prime is 10000121000071. The reversal of 10000121000000 is 12100001.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 9974682025984 + 25438974016 = 3158272^2 + 159496^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4000061 + ... + 6000060.

Almost surely, 2^{10000121000000} is an apocalyptic number.

10000121000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000121000000 is an abundant number, since it is smaller than the sum of its proper divisors (14804551613314).

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

10000121000000 is an frugal number, since it uses more digits than its factorization.

10000121000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000163 (or 10000128 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10000121000000 its reverse (12100001), we get a palindrome (10000133100001).

It can be divided in two parts, 10000 and 121000000, that multiplied together give a square (1210000000000 = 1100000²).

The spelling of 10000121000000 in words is "ten trillion, one hundred twenty-one million", and thus it is an aban number.