100101121011 has 24 divisors (see below), whose sum is σ = 148843116864. Its totient is φ = 64779713280.

The previous prime is 100101120983. The next prime is 100101121039. The reversal of 100101121011 is 110121101001.

It is an interprime number because it is at equal distance from previous prime (100101120983) and next prime (100101121039).

It is not a de Polignac number, because 100101121011 - 2¹¹ = 100101118963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101120984 and 100101121002.

It is not an unprimeable number, because it can be changed into a prime (100101121411) 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, 205206 + ... + 492251.

It is an arithmetic number, because the mean of its divisors is an integer number (6201796536).

Almost surely, 2^100101121011 is an apocalyptic number.

100101121011 is a deficient number, since it is larger than the sum of its proper divisors (48741995853).

100101121011 is a wasteful number, since it uses less digits than its factorization.

100101121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697931 (or 697928 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101121011 its reverse (110121101001), we get a palindrome (210222222012).

The spelling of 100101121011 in words is "one hundred billion, one hundred one million, one hundred twenty-one thousand, eleven".