100111011122021 has 8 divisors (see below), whose sum is σ = 101202014102904. Its totient is φ = 99021965099200.

The previous prime is 100111011121853. The next prime is 100111011122027. The reversal of 100111011122021 is 120221110111001.

It can be written as a sum of positive squares in 4 ways, for example, as 35820105300100 + 64290905821921 = 5984990^2 + 8018161^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111011122021 - 2¹⁰ = 100111011120997 is a prime.

It is a super-2 number, since 2×100111011122021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111011121987 and 100111011122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111011122027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489136646 + ... + 489341271.

It is an arithmetic number, because the mean of its divisors is an integer number (12650251762863).

Almost surely, 2^{100111011122021} is an apocalyptic number.

It is an amenable number.

100111011122021 is a deficient number, since it is larger than the sum of its proper divisors (1091002980883).

100111011122021 is a wasteful number, since it uses less digits than its factorization.

100111011122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978479031.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100111011122021 its reverse (120221110111001), we get a palindrome (220332121233022).

The spelling of 100111011122021 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred twenty-two thousand, twenty-one".