10121212101000 has 3072 divisors, whose sum is σ = 45034778880000. Its totient is φ = 1888862976000.

The previous prime is 10121212100981. The next prime is 10121212101001. The reversal of 10121212101000 is 10121212101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121212101001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 273546272982 + ... + 273546273018.

It is an arithmetic number, because the mean of its divisors is an integer number (14659758750).

Almost surely, 2^{10121212101000} is an apocalyptic number.

10121212101000 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 10121212101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22517389440000).

10121212101000 is an abundant number, since it is smaller than the sum of its proper divisors (34913566779000).

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

10121212101000 is a wasteful number, since it uses less digits than its factorization.

10121212101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 78 counting only the distinct ones).

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

Adding to 10121212101000 its reverse (10121212101), we get a palindrome (10131333313101).

10121212101000 divided by its reverse (10121212101) gives a cube (1000 = 10³).

The spelling of 10121212101000 in words is "ten trillion, one hundred twenty-one billion, two hundred twelve million, one hundred one thousand".