101121011210211 has 64 divisors (see below), whose sum is σ = 140393406007296. Its totient is φ = 64696703385600.

The previous prime is 101121011210209. The next prime is 101121011210213. The reversal of 101121011210211 is 112012110121101.

It is an interprime number because it is at equal distance from previous prime (101121011210209) and next prime (101121011210213).

It is not a de Polignac number, because 101121011210211 - 2¹ = 101121011210209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121011210213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13165080291 + ... + 13165087971.

It is an arithmetic number, because the mean of its divisors is an integer number (2193646968864).

Almost surely, 2^{101121011210211} is an apocalyptic number.

101121011210211 is a deficient number, since it is larger than the sum of its proper divisors (39272394797085).

101121011210211 is a wasteful number, since it uses less digits than its factorization.

101121011210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14012.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101121011210211 its reverse (112012110121101), we get a palindrome (213133121331312).

The spelling of 101121011210211 in words is "one hundred one trillion, one hundred twenty-one billion, eleven million, two hundred ten thousand, two hundred eleven".