101120020212211 has 16 divisors (see below), whose sum is σ = 135769537628928. Its totient is φ = 72733680871200.

The previous prime is 101120020212209. The next prime is 101120020212257. The reversal of 101120020212211 is 112212020021101.

It is a cyclic number.

It is not a de Polignac number, because 101120020212211 - 2¹ = 101120020212209 is a prime.

It is a super-2 number, since 2×101120020212211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101120020212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50509499605 + ... + 50509501606.

It is an arithmetic number, because the mean of its divisors is an integer number (8485596101808).

Almost surely, 2^{101120020212211} is an apocalyptic number.

101120020212211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101120020212211 is a deficient number, since it is larger than the sum of its proper divisors (34649517416717).

101120020212211 is a wasteful number, since it uses less digits than its factorization.

101120020212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101019001242.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101120020212211 its reverse (112212020021101), we get a palindrome (213332040233312).

The spelling of 101120020212211 in words is "one hundred one trillion, one hundred twenty billion, twenty million, two hundred twelve thousand, two hundred eleven".