211012200221100 has 144 divisors (see below), whose sum is σ = 627122764574208. Its totient is φ = 54754347848960.

The previous prime is 211012200221071. The next prime is 211012200221101. The reversal of 211012200221100 is 1122002210112.

It is a super-2 number, since 2×211012200221100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211012200221100.

It is not an unprimeable number, because it can be changed into a prime (211012200221101) 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, 40813314 + ... + 45691913.

It is an arithmetic number, because the mean of its divisors is an integer number (4355019198432).

Almost surely, 2^{211012200221100} is an apocalyptic number.

211012200221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012200221100 is an abundant number, since it is smaller than the sum of its proper divisors (416110564353108).

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

211012200221100 is a wasteful number, since it uses less digits than its factorization.

211012200221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86505464 (or 86505457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211012200221100 its reverse (1122002210112), we get a palindrome (212134202431212).

The spelling of 211012200221100 in words is "two hundred eleven trillion, twelve billion, two hundred million, two hundred twenty-one thousand, one hundred".