101200222111212 has 144 divisors (see below), whose sum is σ = 309685544663040. Its totient is φ = 27201907385856.

The previous prime is 101200222111201. The next prime is 101200222111223. The reversal of 101200222111212 is 212111222002101.

101200222111212 is a `hidden beast` number, since 1 + 0 + 120 + 0 + 222 + 111 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (101200222111201) and next prime (101200222111223).

It is a super-2 number, since 2×101200222111212² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5021989 + ... + 15087107.

It is an arithmetic number, because the mean of its divisors is an integer number (2150594060160).

Almost surely, 2^{101200222111212} is an apocalyptic number.

101200222111212 is a gapful number since it is divisible by the number (12) 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 101200222111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154842772331520).

101200222111212 is an abundant number, since it is smaller than the sum of its proper divisors (208485322551828).

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

101200222111212 is a wasteful number, since it uses less digits than its factorization.

101200222111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10067500 (or 10067495 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101200222111212 its reverse (212111222002101), we get a palindrome (313311444113313).

The spelling of 101200222111212 in words is "one hundred one trillion, two hundred billion, two hundred twenty-two million, one hundred eleven thousand, two hundred twelve".