100101121002021 has 16 divisors (see below), whose sum is σ = 141326952907968. Its totient is φ = 62805113952000.

The previous prime is 100101121002013. The next prime is 100101121002119. The reversal of 100101121002021 is 120200121101001.

It is not a de Polignac number, because 100101121002021 - 2³ = 100101121002013 is a prime.

It is a super-2 number, since 2×100101121002021² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100101121001988 and 100101121002006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101121006021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52691235 + ... + 54557936.

It is an arithmetic number, because the mean of its divisors is an integer number (8832934556748).

Almost surely, 2^{100101121002021} is an apocalyptic number.

It is an amenable number.

100101121002021 is a deficient number, since it is larger than the sum of its proper divisors (41225831905947).

100101121002021 is a wasteful number, since it uses less digits than its factorization.

100101121002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107267492.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100101121002021 its reverse (120200121101001), we get a palindrome (220301242103022).

The spelling of 100101121002021 in words is "one hundred trillion, one hundred one billion, one hundred twenty-one million, two thousand, twenty-one".