101201121221003 has 16 divisors (see below), whose sum is σ = 104853421136160. Its totient is φ = 97559673657600.

The previous prime is 101201121220987. The next prime is 101201121221023. The reversal of 101201121221003 is 300122121102101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101201121221003 - 2⁴ = 101201121220987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201121221023) 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, 550000808 + ... + 550184778.

It is an arithmetic number, because the mean of its divisors is an integer number (6553338821010).

Almost surely, 2^{101201121221003} is an apocalyptic number.

101201121221003 is a deficient number, since it is larger than the sum of its proper divisors (3652299915157).

101201121221003 is a wasteful number, since it uses less digits than its factorization.

101201121221003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213358.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101201121221003 its reverse (300122121102101), we get a palindrome (401323242323104).

The spelling of 101201121221003 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, three".