101210102211200 has 192 divisors, whose sum is σ = 263479788074400. Its totient is φ = 38309549322240.

The previous prime is 101210102211173. The next prime is 101210102211209. The reversal of 101210102211200 is 2112201012101.

It is a super-3 number, since 3×101210102211200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101210102211209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52372547 + ... + 54270653.

Almost surely, 2^{101210102211200} is an apocalyptic number.

101210102211200 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 101210102211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131739894037200).

101210102211200 is an abundant number, since it is smaller than the sum of its proper divisors (162269685863200).

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

101210102211200 is a wasteful number, since it uses less digits than its factorization.

101210102211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899027 (or 1899010 counting only the distinct ones).

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

Adding to 101210102211200 its reverse (2112201012101), we get a palindrome (103322303223301).

The spelling of 101210102211200 in words is "one hundred one trillion, two hundred ten billion, one hundred two million, two hundred eleven thousand, two hundred".