100102102011021 has 16 divisors (see below), whose sum is σ = 151933625187840. Its totient is φ = 58030204063920.

The previous prime is 100102102011013. The next prime is 100102102011047. The reversal of 100102102011021 is 120110201201001.

100102102011021 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100102102011021 - 2³ = 100102102011013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102102010988 and 100102102011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102102011011) 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, 65943412951 + ... + 65943414468.

It is an arithmetic number, because the mean of its divisors is an integer number (9495851574240).

Almost surely, 2^{100102102011021} is an apocalyptic number.

100102102011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102102011021 is a deficient number, since it is larger than the sum of its proper divisors (51831523176819).

100102102011021 is a wasteful number, since it uses less digits than its factorization.

100102102011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131886827456.

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

Adding to 100102102011021 its reverse (120110201201001), we get a palindrome (220212303212022).

The spelling of 100102102011021 in words is "one hundred trillion, one hundred two billion, one hundred two million, eleven thousand, twenty-one".