101121001212000 has 768 divisors, whose sum is σ = 416267509432320. Its totient is φ = 20846681856000.

The previous prime is 101121001211977. The next prime is 101121001212017. The reversal of 101121001212000 is 212100121101.

It is a super-2 number, since 2×101121001212000² (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116917141 + ... + 117778859.

It is an arithmetic number, because the mean of its divisors is an integer number (542014986240).

Almost surely, 2^{101121001212000} is an apocalyptic number.

101121001212000 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 101121001212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208133754716160).

101121001212000 is an abundant number, since it is smaller than the sum of its proper divisors (315146508220320).

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

101121001212000 is a wasteful number, since it uses less digits than its factorization.

101121001212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861892 (or 861874 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101121001212000 its reverse (212100121101), we get a palindrome (101333101333101).

The spelling of 101121001212000 in words is "one hundred one trillion, one hundred twenty-one billion, one million, two hundred twelve thousand".