10100210122002 has 1024 divisors, whose sum is σ = 29659087503360. Its totient is φ = 2209702809600.

The previous prime is 10100210121973. The next prime is 10100210122003. The reversal of 10100210122002 is 20022101200101.

It is not an unprimeable number, because it can be changed into a prime (10100210122003) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 36462852288 + ... + 36462852564.

It is an arithmetic number, because the mean of its divisors is an integer number (28963952640).

Almost surely, 2^{10100210122002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100210122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829543751680).

10100210122002 is an abundant number, since it is smaller than the sum of its proper divisors (19558877381358).

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

10100210122002 is a wasteful number, since it uses less digits than its factorization.

10100210122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100210122002 its reverse (20022101200101), we get a palindrome (30122311322103).

The spelling of 10100210122002 in words is "ten trillion, one hundred billion, two hundred ten million, one hundred twenty-two thousand, two".