211001020122020 has 48 divisors (see below), whose sum is σ = 469232024245488. Its totient is φ = 79424664391680.

The previous prime is 211001020121993. The next prime is 211001020122029. The reversal of 211001020122020 is 20221020100112.

211001020122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7202954204224 + 203798065917796 = 2683832^2 + 14275786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211001020121986 and 211001020122004.

It is not an unprimeable number, because it can be changed into a prime (211001020122029) 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, 40566521 + ... + 45471360.

It is an arithmetic number, because the mean of its divisors is an integer number (9775667171781).

Almost surely, 2^{211001020122020} is an apocalyptic number.

211001020122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001020122020 is an abundant number, since it is smaller than the sum of its proper divisors (258231004123468).

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

211001020122020 is a wasteful number, since it uses less digits than its factorization.

211001020122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86045120 (or 86045118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211001020122020 its reverse (20221020100112), we get a palindrome (231222040222132).

The spelling of 211001020122020 in words is "two hundred eleven trillion, one billion, twenty million, one hundred twenty-two thousand, twenty".