10211200101120 has 144 divisors (see below), whose sum is σ = 33058761234912. Its totient is φ = 2685685432320.

The previous prime is 10211200101097. The next prime is 10211200101131. The reversal of 10211200101120 is 2110100211201.

It is a super-2 number, since 2×10211200101120² (a number of 27 digits) contains 22 as substring.

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 = 10211200101096 and 10211200101105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17933151 + ... + 18493790.

It is an arithmetic number, because the mean of its divisors is an integer number (229574730798).

Almost surely, 2^{10211200101120} is an apocalyptic number.

10211200101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211200101120 is an abundant number, since it is smaller than the sum of its proper divisors (22847561133792).

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

10211200101120 is an equidigital number, since it uses as much as digits as its factorization.

10211200101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36427038 (or 36427024 counting only the distinct ones).

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

Adding to 10211200101120 its reverse (2110100211201), we get a palindrome (12321300312321).

The spelling of 10211200101120 in words is "ten trillion, two hundred eleven billion, two hundred million, one hundred one thousand, one hundred twenty".