101111111011100 has 72 divisors (see below), whose sum is σ = 219959701626000. Its totient is φ = 40343429099520.

The previous prime is 101111111011091. The next prime is 101111111011109. The reversal of 101111111011100 is 1110111111101.

It is an interprime number because it is at equal distance from previous prime (101111111011091) and next prime (101111111011109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111111011109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74743526 + ... + 76084274.

Almost surely, 2^{101111111011100} is an apocalyptic number.

101111111011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111111011100 is an abundant number, since it is smaller than the sum of its proper divisors (118848590614900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101111111011100 is a wasteful number, since it uses less digits than its factorization.

101111111011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342647 (or 1342640 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101111111011100 its reverse (1110111111101), we get a palindrome (102221222122201).

The spelling of 101111111011100 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, eleven thousand, one hundred".