211000102101120 has 64 divisors (see below), whose sum is σ = 672562825453440. Its totient is φ = 56266693893120.

The previous prime is 211000102101109. The next prime is 211000102101143. The reversal of 211000102101120 is 21101201000112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211000102101096 and 211000102101105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54947941336 + ... + 54947945175.

It is an arithmetic number, because the mean of its divisors is an integer number (10508794147710).

Almost surely, 2^{211000102101120} is an apocalyptic number.

211000102101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000102101120 is an abundant number, since it is smaller than the sum of its proper divisors (461562723352320).

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

211000102101120 is a wasteful number, since it uses less digits than its factorization.

211000102101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109895886533 (or 109895886521 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211000102101120 its reverse (21101201000112), we get a palindrome (232101303101232).

The spelling of 211000102101120 in words is "two hundred eleven trillion, one hundred two million, one hundred one thousand, one hundred twenty".