10121012101200 has 1920 divisors, whose sum is σ = 46655237873664. Its totient is φ = 1806520320000.

The previous prime is 10121012101159. The next prime is 10121012101247. The reversal of 10121012101200 is 210121012101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1022216250 + ... + 1022226150.

Almost surely, 2^{10121012101200} is an apocalyptic number.

10121012101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121012101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23327618936832).

10121012101200 is an abundant number, since it is smaller than the sum of its proper divisors (36534225772464).

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

10121012101200 is a wasteful number, since it uses less digits than its factorization.

10121012101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013 (or 10002 counting only the distinct ones).

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

Adding to 10121012101200 its reverse (210121012101), we get a palindrome (10331133113301).

The spelling of 10121012101200 in words is "ten trillion, one hundred twenty-one billion, twelve million, one hundred one thousand, two hundred".