10100101012221 has 128 divisors (see below), whose sum is σ = 15845685834240. Its totient is φ = 5663637504000.

The previous prime is 10100101012153. The next prime is 10100101012273. The reversal of 10100101012221 is 12221010100101.

It is not a de Polignac number, because 10100101012221 - 2¹¹ = 10100101010173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100101012197 and 10100101012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101012921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 690220321 + ... + 690234953.

It is an arithmetic number, because the mean of its divisors is an integer number (123794420580).

Almost surely, 2^{10100101012221} is an apocalyptic number.

10100101012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100101012221 is a deficient number, since it is larger than the sum of its proper divisors (5745584822019).

10100101012221 is a wasteful number, since it uses less digits than its factorization.

10100101012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100101012221 its reverse (12221010100101), we get a palindrome (22321111112322).

The spelling of 10100101012221 in words is "ten trillion, one hundred billion, one hundred one million, twelve thousand, two hundred twenty-one".