101102120011011 has 16 divisors (see below), whose sum is σ = 155236406738688. Its totient is φ = 57331627485600.

The previous prime is 101102120010977. The next prime is 101102120011051. The reversal of 101102120011011 is 110110021201101.

It is not a de Polignac number, because 101102120011011 - 2²¹ = 101102117913859 is a prime.

It is a super-2 number, since 2×101102120011011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101102120011051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18375518880 + ... + 18375524381.

It is an arithmetic number, because the mean of its divisors is an integer number (9702275421168).

Almost surely, 2^{101102120011011} is an apocalyptic number.

101102120011011 is a deficient number, since it is larger than the sum of its proper divisors (54134286727677).

101102120011011 is a wasteful number, since it uses less digits than its factorization.

101102120011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36751043402.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101102120011011 its reverse (110110021201101), we get a palindrome (211212141212112).

The spelling of 101102120011011 in words is "one hundred one trillion, one hundred two billion, one hundred twenty million, eleven thousand, eleven".