101212120022000 has 160 divisors (see below), whose sum is σ = 263814565245504. Its totient is φ = 37334017152000.

The previous prime is 101212120021949. The next prime is 101212120022029. The reversal of 101212120022000 is 220021212101.

It is a super-3 number, since 3×101212120022000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24639647 + ... + 28452353.

Almost surely, 2^{101212120022000} is an apocalyptic number.

101212120022000 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 101212120022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131907282622752).

101212120022000 is an abundant number, since it is smaller than the sum of its proper divisors (162602445223504).

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

101212120022000 is a wasteful number, since it uses less digits than its factorization.

101212120022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813764 (or 3813748 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101212120022000 its reverse (220021212101), we get a palindrome (101432141234101).

The spelling of 101212120022000 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty million, twenty-two thousand".