121002210131010 has 512 divisors, whose sum is σ = 347258532741120. Its totient is φ = 26681095913472.

The previous prime is 121002210131003. The next prime is 121002210131021. The reversal of 121002210131010 is 10131012200121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31453652907 + ... + 31453656753.

It is an arithmetic number, because the mean of its divisors is an integer number (678239321760).

Almost surely, 2^{121002210131010} is an apocalyptic number.

121002210131010 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 121002210131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173629266370560).

121002210131010 is an abundant number, since it is smaller than the sum of its proper divisors (226256322610110).

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

121002210131010 is a wasteful number, since it uses less digits than its factorization.

121002210131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 121002210131010 its reverse (10131012200121), we get a palindrome (131133222331131).

It can be divided in two parts, 121002 and 210131010, that added together give a palindrome (210252012).

The spelling of 121002210131010 in words is "one hundred twenty-one trillion, two billion, two hundred ten million, one hundred thirty-one thousand, ten".