101211222000 has 160 divisors (see below), whose sum is σ = 372920131584. Its totient is φ = 23133984000.

The previous prime is 101211221863. The next prime is 101211222001. The reversal of 101211222000 is 222112101.

It is a super-2 number, since 2×101211222000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211222001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1162896 + ... + 1246895.

Almost surely, 2^101211222000 is an apocalyptic number.

101211222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211222000 is an abundant number, since it is smaller than the sum of its proper divisors (271708909584).

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

101211222000 is a wasteful number, since it uses less digits than its factorization.

101211222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409824 (or 2409808 counting only the distinct ones).

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

Adding to 101211222000 its reverse (222112101), we get a palindrome (101433334101).

The spelling of 101211222000 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-two thousand".