1210121012001 has 64 divisors (see below), whose sum is σ = 1869883868160. Its totient is φ = 688435200000.

The previous prime is 1210121011991. The next prime is 1210121012021. The reversal of 1210121012001 is 1002101210121.

It is not a de Polignac number, because 1210121012001 - 2⁷ = 1210121011873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1210121012021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30353841 + ... + 30393681.

It is an arithmetic number, because the mean of its divisors is an integer number (29216935440).

Almost surely, 2^{1210121012001} is an apocalyptic number.

1210121012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1210121012001 is a deficient number, since it is larger than the sum of its proper divisors (659762856159).

1210121012001 is a wasteful number, since it uses less digits than its factorization.

1210121012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40318.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1210121012001 its reverse (1002101210121), we get a palindrome (2212222222122).

The spelling of 1210121012001 in words is "one trillion, two hundred ten billion, one hundred twenty-one million, twelve thousand, one".