121122011010 has 384 divisors, whose sum is σ = 393888614400. Its totient is φ = 23146905600.

The previous prime is 121122010969. The next prime is 121122011033. The reversal of 121122011010 is 10110221121.

It is a super-2 number, since 2×121122011010² (a number of 23 digits) contains 22 as substring.

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, 175284765 + ... + 175285455.

It is an arithmetic number, because the mean of its divisors is an integer number (1025751600).

Almost surely, 2^121122011010 is an apocalyptic number.

121122011010 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 121122011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196944307200).

121122011010 is an abundant number, since it is smaller than the sum of its proper divisors (272766603390).

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

121122011010 is a wasteful number, since it uses less digits than its factorization.

121122011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1181 counting only the distinct ones).

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

Adding to 121122011010 its reverse (10110221121), we get a palindrome (131232232131).

The spelling of 121122011010 in words is "one hundred twenty-one billion, one hundred twenty-two million, eleven thousand, ten".