10100010212101 has 32 divisors (see below), whose sum is σ = 10779339720960. Its totient is φ = 9442143220224.

The previous prime is 10100010212099. The next prime is 10100010212111. The reversal of 10100010212101 is 10121201000101.

10100010212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10100010212101 - 2¹ = 10100010212099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010212111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610153641 + ... + 610170193.

It is an arithmetic number, because the mean of its divisors is an integer number (336854366280).

Almost surely, 2^{10100010212101} is an apocalyptic number.

It is an amenable number.

10100010212101 is a deficient number, since it is larger than the sum of its proper divisors (679329508859).

10100010212101 is a wasteful number, since it uses less digits than its factorization.

10100010212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18525.

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

Adding to 10100010212101 its reverse (10121201000101), we get a palindrome (20221211212202).

The spelling of 10100010212101 in words is "ten trillion, one hundred billion, ten million, two hundred twelve thousand, one hundred one".