101132420411 has 64 divisors (see below), whose sum is σ = 122606714880. Its totient is φ = 82340375040.

The previous prime is 101132420407. The next prime is 101132420443. The reversal of 101132420411 is 114024231101.

It is not a de Polignac number, because 101132420411 - 2² = 101132420407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101132420401) 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, 264053126 + ... + 264053508.

It is an arithmetic number, because the mean of its divisors is an integer number (1915729920).

Almost surely, 2^101132420411 is an apocalyptic number.

101132420411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101132420411 is a deficient number, since it is larger than the sum of its proper divisors (21474294469).

101132420411 is a wasteful number, since it uses less digits than its factorization.

101132420411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101132420411 its reverse (114024231101), we get a palindrome (215156651512).

The spelling of 101132420411 in words is "one hundred one billion, one hundred thirty-two million, four hundred twenty thousand, four hundred eleven".