101120121122211 has 8 divisors (see below), whose sum is σ = 149807586847760. Its totient is φ = 67413414081456.

The previous prime is 101120121122197. The next prime is 101120121122213. The reversal of 101120121122211 is 112221121021101.

It is a happy number.

101120121122211 is a `hidden beast` number, since 10 + 11 + 201 + 211 + 22 + 211 = 666.

It is not a de Polignac number, because 101120121122211 - 2³⁹ = 100570365308323 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101120121122213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872594835570 + ... + 1872594835623.

It is an arithmetic number, because the mean of its divisors is an integer number (18725948355970).

Almost surely, 2^{101120121122211} is an apocalyptic number.

101120121122211 is a deficient number, since it is larger than the sum of its proper divisors (48687465725549).

101120121122211 is an equidigital number, since it uses as much as digits as its factorization.

101120121122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745189671202 (or 3745189671196 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101120121122211 its reverse (112221121021101), we get a palindrome (213341242143312).

The spelling of 101120121122211 in words is "one hundred one trillion, one hundred twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred eleven".