101020120013211 has 32 divisors (see below), whose sum is σ = 155516137996800. Its totient is φ = 57135751951104.

The previous prime is 101020120013201. The next prime is 101020120013251. The reversal of 101020120013211 is 112310021020101.

It is not a de Polignac number, because 101020120013211 - 2⁷ = 101020120013083 is a prime.

It is a super-2 number, since 2×101020120013211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101020120013201) 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, 56155330 + ... + 57926343.

It is an arithmetic number, because the mean of its divisors is an integer number (4859879312400).

Almost surely, 2^{101020120013211} is an apocalyptic number.

101020120013211 is a deficient number, since it is larger than the sum of its proper divisors (54496017983589).

101020120013211 is a wasteful number, since it uses less digits than its factorization.

101020120013211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114082115.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101020120013211 its reverse (112310021020101), we get a palindrome (213330141033312).

The spelling of 101020120013211 in words is "one hundred one trillion, twenty billion, one hundred twenty million, thirteen thousand, two hundred eleven".