210111100102002 has 128 divisors (see below), whose sum is σ = 467437680230400. Its totient is φ = 62430909408000.

The previous prime is 210111100101971. The next prime is 210111100102031. The reversal of 210111100102002 is 200201001111012.

It is a super-3 number, since 3×210111100102002³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1516332399 + ... + 1516470957.

It is an arithmetic number, because the mean of its divisors is an integer number (3651856876800).

Almost surely, 2^{210111100102002} is an apocalyptic number.

210111100102002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210111100102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233718840115200).

210111100102002 is an abundant number, since it is smaller than the sum of its proper divisors (257326580128398).

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

210111100102002 is a wasteful number, since it uses less digits than its factorization.

210111100102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140872.

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

Adding to 210111100102002 its reverse (200201001111012), we get a palindrome (410312101213014).

The spelling of 210111100102002 in words is "two hundred ten trillion, one hundred eleven billion, one hundred million, one hundred two thousand, two".