10121212011000 has 128 divisors (see below), whose sum is σ = 33240191212800. Its totient is φ = 2556937756800.

The previous prime is 10121212010983. The next prime is 10121212011007. The reversal of 10121212011000 is 11021212101.

10121212011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10121212011000² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121212011007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88725562 + ... + 88839561.

It is an arithmetic number, because the mean of its divisors is an integer number (259688993850).

Almost surely, 2^{10121212011000} is an apocalyptic number.

10121212011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121212011000 is an abundant number, since it is smaller than the sum of its proper divisors (23118979201800).

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

10121212011000 is a wasteful number, since it uses less digits than its factorization.

10121212011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177565166 (or 177565152 counting only the distinct ones).

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

Adding to 10121212011000 its reverse (11021212101), we get a palindrome (10132233223101).

The spelling of 10121212011000 in words is "ten trillion, one hundred twenty-one billion, two hundred twelve million, eleven thousand".