10100211121221 has 16 divisors (see below), whose sum is σ = 14529674799360. Its totient is φ = 6204025586880.

The previous prime is 10100211121207. The next prime is 10100211121237. The reversal of 10100211121221 is 12212111200101.

It is a happy number.

It is not a de Polignac number, because 10100211121221 - 2⁷ = 10100211121093 is a prime.

It is a super-3 number, since 3×10100211121221³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100211121221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100211121271) 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, 239331741 + ... + 239373938.

It is an arithmetic number, because the mean of its divisors is an integer number (908104674960).

Almost surely, 2^{10100211121221} is an apocalyptic number.

It is an amenable number.

10100211121221 is a deficient number, since it is larger than the sum of its proper divisors (4429463678139).

10100211121221 is a wasteful number, since it uses less digits than its factorization.

10100211121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478706236.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10100211121221 its reverse (12212111200101), we get a palindrome (22312322321322).

The spelling of 10100211121221 in words is "ten trillion, one hundred billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty-one".