100002201002121 has 32 divisors (see below), whose sum is σ = 146331094081536. Its totient is φ = 60243511520000.

The previous prime is 100002201002083. The next prime is 100002201002129. The reversal of 100002201002121 is 121200102200001.

It is a cyclic number.

It is not a de Polignac number, because 100002201002121 - 2¹⁷ = 100002200871049 is a prime.

It is a super-2 number, since 2×100002201002121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100002201002097 and 100002201002106.

It is not an unprimeable number, because it can be changed into a prime (100002201002129) 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, 500910721 + ... + 501110321.

It is an arithmetic number, because the mean of its divisors is an integer number (4572846690048).

Almost surely, 2^{100002201002121} is an apocalyptic number.

100002201002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002201002121 is a deficient number, since it is larger than the sum of its proper divisors (46328893079415).

100002201002121 is a wasteful number, since it uses less digits than its factorization.

100002201002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290693.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100002201002121 its reverse (121200102200001), we get a palindrome (221202303202122).

The spelling of 100002201002121 in words is "one hundred trillion, two billion, two hundred one million, two thousand, one hundred twenty-one".