10121012101 has 16 divisors (see below), whose sum is σ = 10951835904. Its totient is φ = 9316629504.

The previous prime is 10121012071. The next prime is 10121012113.

10121012101 is nontrivially palindromic in base 10.

10121012101 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a cyclic number.

It is not a de Polignac number, because 10121012101 - 2⁷ = 10121011973 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 (10121012801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1493146 + ... + 1499908.

It is an arithmetic number, because the mean of its divisors is an integer number (684489744).

Almost surely, 2^10121012101 is an apocalyptic number.

It is an amenable number.

10121012101 is a deficient number, since it is larger than the sum of its proper divisors (830823803).

10121012101 is a wasteful number, since it uses less digits than its factorization.

10121012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8700.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 101210 and 12101, that added together give a palindrome (113311).

The spelling of 10121012101 in words is "ten billion, one hundred twenty-one million, twelve thousand, one hundred one".