211100102020 has 144 divisors (see below), whose sum is σ = 477255421440. Its totient is φ = 78409984000.

The previous prime is 211100101991. The next prime is 211100102023. The reversal of 211100102020 is 20201001112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211100101988 and 211100102006.

It is not an unprimeable number, because it can be changed into a prime (211100102023) 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, 251608761 + ... + 251609599.

It is an arithmetic number, because the mean of its divisors is an integer number (3314273760).

Almost surely, 2^211100102020 is an apocalyptic number.

211100102020 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 211100102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238627710720).

211100102020 is an abundant number, since it is smaller than the sum of its proper divisors (266155319420).

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

211100102020 is a wasteful number, since it uses less digits than its factorization.

211100102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211100102020 its reverse (20201001112), we get a palindrome (231301103132).

The spelling of 211100102020 in words is "two hundred eleven billion, one hundred million, one hundred two thousand, twenty".