101010210121002 has 256 divisors, whose sum is σ = 261140002099200. Its totient is φ = 25338326999040.

The previous prime is 101010210120961. The next prime is 101010210121027. The reversal of 101010210121002 is 200121012010101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213116602 + ... + 213590042.

It is an arithmetic number, because the mean of its divisors is an integer number (1020078133200).

Almost surely, 2^{101010210121002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010210121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130570001049600).

101010210121002 is an abundant number, since it is smaller than the sum of its proper divisors (160129791978198).

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

101010210121002 is a wasteful number, since it uses less digits than its factorization.

101010210121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473741.

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

Adding to 101010210121002 its reverse (200121012010101), we get a palindrome (301131222131103).

It can be divided in two parts, 101010 and 210121002, that added together give a palindrome (210222012).

The spelling of 101010210121002 in words is "one hundred one trillion, ten billion, two hundred ten million, one hundred twenty-one thousand, two".