100311132100101 has 32 divisors (see below), whose sum is σ = 148685233815552. Its totient is φ = 59737676057280.

The previous prime is 100311132100051. The next prime is 100311132100129. The reversal of 100311132100101 is 101001231113001.

It is not a de Polignac number, because 100311132100101 - 2⁹ = 100311132099589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311132100901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78169806 + ... + 79442688.

It is an arithmetic number, because the mean of its divisors is an integer number (4646413556736).

Almost surely, 2^{100311132100101} is an apocalyptic number.

It is an amenable number.

100311132100101 is a deficient number, since it is larger than the sum of its proper divisors (48374101715451).

100311132100101 is a wasteful number, since it uses less digits than its factorization.

100311132100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338113.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 100311132100101 its reverse (101001231113001), we get a palindrome (201312363213102).

The spelling of 100311132100101 in words is "one hundred trillion, three hundred eleven billion, one hundred thirty-two million, one hundred thousand, one hundred one".