101210121012101 has 4 divisors (see below), whose sum is σ = 101210430794400. Its totient is φ = 101209811229804.

The previous prime is 101210121012097. The next prime is 101210121012149.

101210121012101 is nontrivially palindromic in base 10.

101210121012101 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101210121012101 - 2² = 101210121012097 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210121012151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 154400561 + ... + 155054678.

It is an arithmetic number, because the mean of its divisors is an integer number (25302607698600).

Almost surely, 2^{101210121012101} is an apocalyptic number.

It is an amenable number.

101210121012101 is a deficient number, since it is larger than the sum of its proper divisors (309782299).

101210121012101 is an equidigital number, since it uses as much as digits as its factorization.

101210121012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309782298.

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 101210121012101 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-one million, twelve thousand, one hundred one".