101221212000 has 192 divisors, whose sum is σ = 332387048448. Its totient is φ = 26928320000.

The previous prime is 101221211909. The next prime is 101221212019. The reversal of 101221212000 is 212122101.

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

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, 5162215 + ... + 5181785.

It is an arithmetic number, because the mean of its divisors is an integer number (1731182544).

Almost surely, 2^101221212000 is an apocalyptic number.

101221212000 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 101221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166193524224).

101221212000 is an abundant number, since it is smaller than the sum of its proper divisors (231165836448).

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

101221212000 is a wasteful number, since it uses less digits than its factorization.

101221212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20030 (or 20012 counting only the distinct ones).

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

Adding to 101221212000 its reverse (212122101), we get a palindrome (101433334101).

The spelling of 101221212000 in words is "one hundred one billion, two hundred twenty-one million, two hundred twelve thousand".