10100121011201 has 64 divisors (see below), whose sum is σ = 11909990400000. Its totient is φ = 8480725505280.

The previous prime is 10100121011159. The next prime is 10100121011203. The reversal of 10100121011201 is 10211012100101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100121011201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100121011203) 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, 3021272936 + ... + 3021276278.

It is an arithmetic number, because the mean of its divisors is an integer number (186093600000).

Almost surely, 2^{10100121011201} is an apocalyptic number.

It is an amenable number.

10100121011201 is a deficient number, since it is larger than the sum of its proper divisors (1809869388799).

10100121011201 is a wasteful number, since it uses less digits than its factorization.

10100121011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100121011201 its reverse (10211012100101), we get a palindrome (20311133111302).

The spelling of 10100121011201 in words is "ten trillion, one hundred billion, one hundred twenty-one million, eleven thousand, two hundred one".