100101210122011 has 32 divisors (see below), whose sum is σ = 114936418800000. Its totient is φ = 85400746924032.

The previous prime is 100101210121961. The next prime is 100101210122051. The reversal of 100101210122011 is 110221012101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100101210122011 - 2⁹ = 100101210121499 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101210121982 and 100101210122000.

It is not an unprimeable number, because it can be changed into a prime (100101210122051) 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, 5017846065 + ... + 5017866013.

It is an arithmetic number, because the mean of its divisors is an integer number (3591763087500).

Almost surely, 2^{100101210122011} is an apocalyptic number.

100101210122011 is a deficient number, since it is larger than the sum of its proper divisors (14835208677989).

100101210122011 is a wasteful number, since it uses less digits than its factorization.

100101210122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23911.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100101210122011 its reverse (110221012101001), we get a palindrome (210322222223012).

The spelling of 100101210122011 in words is "one hundred trillion, one hundred one billion, two hundred ten million, one hundred twenty-two thousand, eleven".