101000010022211 has 16 divisors (see below), whose sum is σ = 108793244778240. Its totient is φ = 93454723645920.

The previous prime is 101000010022189. The next prime is 101000010022229. The reversal of 101000010022211 is 112220010000101.

It is a cyclic number.

It is not a de Polignac number, because 101000010022211 - 2¹⁴ = 101000010005827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000010022192 and 101000010022201.

It is not an unprimeable number, because it can be changed into a prime (101000010022111) 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, 15080261 + ... + 20722313.

It is an arithmetic number, because the mean of its divisors is an integer number (6799577798640).

Almost surely, 2^{101000010022211} is an apocalyptic number.

101000010022211 is a deficient number, since it is larger than the sum of its proper divisors (7793234756029).

101000010022211 is a wasteful number, since it uses less digits than its factorization.

101000010022211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664026.

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

Adding to 101000010022211 its reverse (112220010000101), we get a palindrome (213220020022312).

The spelling of 101000010022211 in words is "one hundred one trillion, ten million, twenty-two thousand, two hundred eleven".