10100201211111 has 16 divisors (see below), whose sum is σ = 14699045525760. Its totient is φ = 6118065832320.

The previous prime is 10100201211103. The next prime is 10100201211131. The reversal of 10100201211111 is 11111210200101.

It is not a de Polignac number, because 10100201211111 - 2³ = 10100201211103 is a prime.

It is a super-2 number, since 2×10100201211111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100201211131) 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, 81643131 + ... + 81766748.

It is an arithmetic number, because the mean of its divisors is an integer number (918690345360).

Almost surely, 2^{10100201211111} is an apocalyptic number.

10100201211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100201211111 is a deficient number, since it is larger than the sum of its proper divisors (4598844314649).

10100201211111 is a wasteful number, since it uses less digits than its factorization.

10100201211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163411766.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10100201211111 its reverse (11111210200101), we get a palindrome (21211411411212).

The spelling of 10100201211111 in words is "ten trillion, one hundred billion, two hundred one million, two hundred eleven thousand, one hundred eleven".