101212210211200 has 288 divisors, whose sum is σ = 277542848464560. Its totient is φ = 36440025600000.

The previous prime is 101212210211159. The next prime is 101212210211209. The reversal of 101212210211200 is 2112012212101.

It is a super-2 number, since 2×101212210211200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212210211209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37813165 + ... + 40401235.

Almost surely, 2^{101212210211200} is an apocalyptic number.

101212210211200 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 101212210211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138771424232280).

101212210211200 is an abundant number, since it is smaller than the sum of its proper divisors (176330638253360).

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

101212210211200 is a wasteful number, since it uses less digits than its factorization.

101212210211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588218 (or 2588190 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101212210211200 its reverse (2112012212101), we get a palindrome (103324222423301).

The spelling of 101212210211200 in words is "one hundred one trillion, two hundred twelve billion, two hundred ten million, two hundred eleven thousand, two hundred".