11101012210101 has 32 divisors (see below), whose sum is σ = 16850134978560. Its totient is φ = 6434923352000.

The previous prime is 11101012210069. The next prime is 11101012210231. The reversal of 11101012210101 is 10101221010111.

It is not a de Polignac number, because 11101012210101 - 2⁵ = 11101012210069 is a prime.

It is a super-2 number, since 2×11101012210101² (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 (11101012210601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10611451 + ... + 11610551.

It is an arithmetic number, because the mean of its divisors is an integer number (526566718080).

Almost surely, 2^{11101012210101} is an apocalyptic number.

11101012210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101012210101 is a deficient number, since it is larger than the sum of its proper divisors (5749122768459).

11101012210101 is a wasteful number, since it uses less digits than its factorization.

11101012210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013777.

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

Adding to 11101012210101 its reverse (10101221010111), we get a palindrome (21202233220212).

It can be divided in two parts, 11 and 101012210101, that multiplied together give a palindrome (1111134311111).

The spelling of 11101012210101 in words is "eleven trillion, one hundred one billion, twelve million, two hundred ten thousand, one hundred one".