101211122220201 has 48 divisors (see below), whose sum is σ = 167527677757440. Its totient is φ = 57679586822880.

The previous prime is 101211122220179. The next prime is 101211122220251. The reversal of 101211122220201 is 102022221112101.

101211122220201 is a `hidden beast` number, since 1 + 0 + 121 + 1 + 122 + 220 + 201 = 666.

It is not a de Polignac number, because 101211122220201 - 2¹⁵ = 101211122187433 is a prime.

It is a super-2 number, since 2×101211122220201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101211122220251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87671706 + ... + 88818636.

It is an arithmetic number, because the mean of its divisors is an integer number (3490159953280).

Almost surely, 2^{101211122220201} is an apocalyptic number.

It is an amenable number.

101211122220201 is a deficient number, since it is larger than the sum of its proper divisors (66316555537239).

101211122220201 is a wasteful number, since it uses less digits than its factorization.

101211122220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150706 (or 1150703 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101211122220201 its reverse (102022221112101), we get a palindrome (203233343332302).

The spelling of 101211122220201 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty thousand, two hundred one".