1000211022101 has 2 divisors, whose sum is σ = 1000211022102. Its totient is φ = 1000211022100.

The previous prime is 1000211022059. The next prime is 1000211022133. The reversal of 1000211022101 is 1012201120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 811638828100 + 188572194001 = 900910^2 + 434249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000211022101 is a prime.

It is a super-2 number, since 2×1000211022101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000211022191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500105511050 + 500105511051.

It is an arithmetic number, because the mean of its divisors is an integer number (500105511051).

Almost surely, 2^{1000211022101} is an apocalyptic number.

It is an amenable number.

1000211022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000211022101 is an equidigital number, since it uses as much as digits as its factorization.

1000211022101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000211022101 its reverse (1012201120001), we get a palindrome (2012412142102).

The spelling of 1000211022101 in words is "one trillion, two hundred eleven million, twenty-two thousand, one hundred one".