101120211111111 has 64 divisors (see below), whose sum is σ = 144167040000000. Its totient is φ = 62863848133632.

The previous prime is 101120211111071. The next prime is 101120211111113. The reversal of 101120211111111 is 111111112021101.

It is a happy number.

It is not a de Polignac number, because 101120211111111 - 2²⁶ = 101120144002247 is a prime.

101120211111111 is a modest number, since divided by 11111111 gives 1011202 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120211111113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1363522450 + ... + 1363596608.

It is an arithmetic number, because the mean of its divisors is an integer number (2252610000000).

Almost surely, 2^{101120211111111} is an apocalyptic number.

101120211111111 is a deficient number, since it is larger than the sum of its proper divisors (43046828888889).

101120211111111 is a wasteful number, since it uses less digits than its factorization.

101120211111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75716.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 101120211111111 its reverse (111111112021101), we get a palindrome (212231323132212).

The spelling of 101120211111111 in words is "one hundred one trillion, one hundred twenty billion, two hundred eleven million, one hundred eleven thousand, one hundred eleven".