10121022233010 has 384 divisors, whose sum is σ = 29322902568960. Its totient is φ = 2406261053952.

The previous prime is 10121022232987. The next prime is 10121022233027. The reversal of 10121022233010 is 1033222012101.

10121022233010 is a `hidden beast` number, since 101 + 2 + 1 + 0 + 222 + 330 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1839179919 + ... + 1839185421.

It is an arithmetic number, because the mean of its divisors is an integer number (76361725440).

Almost surely, 2^{10121022233010} is an apocalyptic number.

10121022233010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121022233010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661451284480).

10121022233010 is an abundant number, since it is smaller than the sum of its proper divisors (19201880335950).

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

10121022233010 is a wasteful number, since it uses less digits than its factorization.

10121022233010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10121022233010 its reverse (1033222012101), we get a palindrome (11154244245111).

The spelling of 10121022233010 in words is "ten trillion, one hundred twenty-one billion, twenty-two million, two hundred thirty-three thousand, ten".