100121012000001 has 24 divisors (see below), whose sum is σ = 148013825964576. Its totient is φ = 65181266801280.

The previous prime is 100121011999919. The next prime is 100121012000059. The reversal of 100121012000001 is 100000210121001.

It is a happy number.

It is not a de Polignac number, because 100121012000001 - 2⁴⁶ = 29752267822337 is a prime.

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 (100121012002001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25572955 + ... + 29227008.

It is an arithmetic number, because the mean of its divisors is an integer number (6167242748524).

Almost surely, 2^{100121012000001} is an apocalyptic number.

It is an amenable number.

100121012000001 is a deficient number, since it is larger than the sum of its proper divisors (47892813964575).

100121012000001 is a wasteful number, since it uses less digits than its factorization.

100121012000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54804733 (or 54804730 counting only the distinct ones).

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

Adding to 100121012000001 its reverse (100000210121001), we get a palindrome (200121222121002).

The spelling of 100121012000001 in words is "one hundred trillion, one hundred twenty-one billion, twelve million, one", and thus it is an aban number.