10123211021000 has 384 divisors, whose sum is σ = 29991848140800. Its totient is φ = 3130408512000.

The previous prime is 10123211020991. The next prime is 10123211021023. The reversal of 10123211021000 is 12011232101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107521946 + ... + 107616054.

It is an arithmetic number, because the mean of its divisors is an integer number (78103771200).

Almost surely, 2^{10123211021000} is an apocalyptic number.

10123211021000 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 10123211021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995924070400).

10123211021000 is an abundant number, since it is smaller than the sum of its proper divisors (19868637119800).

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

10123211021000 is a wasteful number, since it uses less digits than its factorization.

10123211021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94286 (or 94261 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10123211021000 its reverse (12011232101), we get a palindrome (10135222253101).

The spelling of 10123211021000 in words is "ten trillion, one hundred twenty-three billion, two hundred eleven million, twenty-one thousand".