101202210012211 has 24 divisors (see below), whose sum is σ = 130532659861680. Its totient is φ = 77566096641600.

The previous prime is 101202210012133. The next prime is 101202210012263. The reversal of 101202210012211 is 112210012202101.

It is not a de Polignac number, because 101202210012211 - 2¹⁷ = 101202209881139 is a prime.

It is a super-2 number, since 2×101202210012211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101202210010211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1538976976 + ... + 1539042733.

It is an arithmetic number, because the mean of its divisors is an integer number (5438860827570).

Almost surely, 2^{101202210012211} is an apocalyptic number.

101202210012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101202210012211 is a deficient number, since it is larger than the sum of its proper divisors (29330449849469).

101202210012211 is a wasteful number, since it uses less digits than its factorization.

101202210012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078019795 (or 3078019788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101202210012211 its reverse (112210012202101), we get a palindrome (213412222214312).

The spelling of 101202210012211 in words is "one hundred one trillion, two hundred two billion, two hundred ten million, twelve thousand, two hundred eleven".