101210122012000 has 192 divisors, whose sum is σ = 252494551318464. Its totient is φ = 39862469222400.

The previous prime is 101210122011959. The next prime is 101210122012007. The reversal of 101210122012000 is 210221012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210122012007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625163064 + ... + 625324936.

It is an arithmetic number, because the mean of its divisors is an integer number (1315075788117).

Almost surely, 2^{101210122012000} is an apocalyptic number.

101210122012000 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 101210122012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126247275659232).

101210122012000 is an abundant number, since it is smaller than the sum of its proper divisors (151284429306464).

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

101210122012000 is a wasteful number, since it uses less digits than its factorization.

101210122012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164298 (or 164280 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101210122012000 its reverse (210221012101), we get a palindrome (101420343024101).

The spelling of 101210122012000 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-two million, twelve thousand".