101210200002120 has 256 divisors, whose sum is σ = 337785894144000. Its totient is φ = 24052751820800.

The previous prime is 101210200002097. The next prime is 101210200002133. The reversal of 101210200002120 is 21200002012101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101210200002096 and 101210200002105.

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 63 ways as a sum of consecutive naturals, for example, 26148940 + ... + 29768900.

It is an arithmetic number, because the mean of its divisors is an integer number (1319476149000).

Almost surely, 2^{101210200002120} is an apocalyptic number.

101210200002120 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 101210200002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168892947072000).

101210200002120 is an abundant number, since it is smaller than the sum of its proper divisors (236575694141880).

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

101210200002120 is a wasteful number, since it uses less digits than its factorization.

101210200002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620404 (or 3620400 counting only the distinct ones).

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

Adding to 101210200002120 its reverse (21200002012101), we get a palindrome (122410202014221).

The spelling of 101210200002120 in words is "one hundred one trillion, two hundred ten billion, two hundred million, two thousand, one hundred twenty".