102210121211000 has 256 divisors, whose sum is σ = 263509860182400. Its totient is φ = 36798332928000.

The previous prime is 102210121210997. The next prime is 102210121211017. The reversal of 102210121211000 is 112121012201.

It is a super-3 number, since 3×102210121211000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1154702744 + ... + 1154791256.

Almost surely, 2^{102210121211000} is an apocalyptic number.

102210121211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131754930091200).

102210121211000 is an abundant number, since it is smaller than the sum of its proper divisors (161299738971400).

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

102210121211000 is a wasteful number, since it uses less digits than its factorization.

102210121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89587 (or 89573 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102210121211000 its reverse (112121012201), we get a palindrome (102322242223201).

The spelling of 102210121211000 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-one million, two hundred eleven thousand".