101000111220201 has 96 divisors (see below), whose sum is σ = 162445865160960. Its totient is φ = 55446659186688.

The previous prime is 101000111220121. The next prime is 101000111220221. The reversal of 101000111220201 is 102022111000101.

It is not a de Polignac number, because 101000111220201 - 2¹⁰ = 101000111219177 is a prime.

It is a super-2 number, since 2×101000111220201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101000111220221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8167801 + ... + 16392473.

It is an arithmetic number, because the mean of its divisors is an integer number (1692144428760).

Almost surely, 2^{101000111220201} is an apocalyptic number.

It is an amenable number.

101000111220201 is a deficient number, since it is larger than the sum of its proper divisors (61445753940759).

101000111220201 is a wasteful number, since it uses less digits than its factorization.

101000111220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224783 (or 8224764 counting only the distinct ones).

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

Adding to 101000111220201 its reverse (102022111000101), we get a palindrome (203022222220302).

The spelling of 101000111220201 in words is "one hundred one trillion, one hundred eleven million, two hundred twenty thousand, two hundred one".