101102011221211 has 128 divisors (see below), whose sum is σ = 139092171079680. Its totient is φ = 70948098547200.

The previous prime is 101102011221161. The next prime is 101102011221227. The reversal of 101102011221211 is 112122110201101.

It is a de Polignac number, because none of the positive numbers 2^k-101102011221211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101102011221011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5376899136 + ... + 5376917938.

It is an arithmetic number, because the mean of its divisors is an integer number (1086657586560).

Almost surely, 2^{101102011221211} is an apocalyptic number.

101102011221211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101102011221211 is a deficient number, since it is larger than the sum of its proper divisors (37990159858469).

101102011221211 is a wasteful number, since it uses less digits than its factorization.

101102011221211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19577.

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

Adding to 101102011221211 its reverse (112122110201101), we get a palindrome (213224121422312).

The spelling of 101102011221211 in words is "one hundred one trillion, one hundred two billion, eleven million, two hundred twenty-one thousand, two hundred eleven".