100102220201101 has 2 divisors, whose sum is σ = 100102220201102. Its totient is φ = 100102220201100.

The previous prime is 100102220201069. The next prime is 100102220201107. The reversal of 100102220201101 is 101102022201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98470791330025 + 1631428871076 = 9923245^2 + 1277274^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102220201101 - 2⁵ = 100102220201069 is a prime.

It is a super-2 number, since 2×100102220201101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102220201107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051110100550 + 50051110100551.

It is an arithmetic number, because the mean of its divisors is an integer number (50051110100551).

Almost surely, 2^{100102220201101} is an apocalyptic number.

It is an amenable number.

100102220201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102220201101 is an equidigital number, since it uses as much as digits as its factorization.

100102220201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100102220201101 its reverse (101102022201001), we get a palindrome (201204242402102).

The spelling of 100102220201101 in words is "one hundred trillion, one hundred two billion, two hundred twenty million, two hundred one thousand, one hundred one".