211011020110100 has 144 divisors (see below), whose sum is σ = 546084796336128. Its totient is φ = 69197964696960.

The previous prime is 211011020110097. The next prime is 211011020110103. The reversal of 211011020110100 is 1011020110112.

It is an interprime number because it is at equal distance from previous prime (211011020110097) and next prime (211011020110103).

It is a super-2 number, since 2×211011020110100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011020110103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365616359 + ... + 366193041.

It is an arithmetic number, because the mean of its divisors is an integer number (3792255530112).

Almost surely, 2^{211011020110100} is an apocalyptic number.

211011020110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211011020110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273042398168064).

211011020110100 is an abundant number, since it is smaller than the sum of its proper divisors (335073776226028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211011020110100 is a wasteful number, since it uses less digits than its factorization.

211011020110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599454 (or 599447 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211011020110100 its reverse (1011020110112), we get a palindrome (212022040220212).

The spelling of 211011020110100 in words is "two hundred eleven trillion, eleven billion, twenty million, one hundred ten thousand, one hundred".