10010012000121 has 48 divisors (see below), whose sum is σ = 16909317110400. Its totient is φ = 5586797422080.

The previous prime is 10010012000111. The next prime is 10010012000141. The reversal of 10010012000121 is 12100021001001.

It is a happy number.

It is not a de Polignac number, because 10010012000121 - 2³¹ = 10007864516473 is a prime.

It is a super-3 number, since 3×10010012000121³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10010012000111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141051955 + ... + 141122903.

It is an arithmetic number, because the mean of its divisors is an integer number (352277439800).

Almost surely, 2^{10010012000121} is an apocalyptic number.

It is an amenable number.

10010012000121 is a deficient number, since it is larger than the sum of its proper divisors (6899305110279).

10010012000121 is a wasteful number, since it uses less digits than its factorization.

10010012000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123086 (or 123083 counting only the distinct ones).

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

Adding to 10010012000121 its reverse (12100021001001), we get a palindrome (22110033001122).

The spelling of 10010012000121 in words is "ten trillion, ten billion, twelve million, one hundred twenty-one", and thus it is an aban number.