10100121200111 has 8 divisors (see below), whose sum is σ = 10104315836160. Its totient is φ = 10095926962968.

The previous prime is 10100121200069. The next prime is 10100121200167. The reversal of 10100121200111 is 11100212100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100121200111 - 2¹⁴ = 10100121183727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100121200092 and 10100121200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100121202111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57318980 + ... + 57494918.

It is an arithmetic number, because the mean of its divisors is an integer number (1263039479520).

Almost surely, 2^{10100121200111} is an apocalyptic number.

10100121200111 is a deficient number, since it is larger than the sum of its proper divisors (4194636049).

10100121200111 is a wasteful number, since it uses less digits than its factorization.

10100121200111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199453.

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

Adding to 10100121200111 its reverse (11100212100101), we get a palindrome (21200333300212).

The spelling of 10100121200111 in words is "ten trillion, one hundred billion, one hundred twenty-one million, two hundred thousand, one hundred eleven".