10121212201120 has 96 divisors (see below), whose sum is σ = 24737033905920. Its totient is φ = 3908701762560.

The previous prime is 10121212201109. The next prime is 10121212201151. The reversal of 10121212201120 is 2110221212101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10121212201094 and 10121212201103.

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, 146881875 + ... + 146950765.

It is an arithmetic number, because the mean of its divisors is an integer number (257677436520).

Almost surely, 2^{10121212201120} is an apocalyptic number.

10121212201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121212201120 is an abundant number, since it is smaller than the sum of its proper divisors (14615821704800).

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

10121212201120 is a wasteful number, since it uses less digits than its factorization.

10121212201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100598 (or 100590 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10121212201120 its reverse (2110221212101), we get a palindrome (12231433413221).

The spelling of 10121212201120 in words is "ten trillion, one hundred twenty-one billion, two hundred twelve million, two hundred one thousand, one hundred twenty".