101220000210000 has 450 divisors, whose sum is σ = 411773789366082. Its totient is φ = 23135999040000.

The previous prime is 101220000209971. The next prime is 101220000210019. The reversal of 101220000210000 is 12000022101.

It can be written as a sum of positive squares in 5 ways, for example, as 8999856000576 + 92220144209424 = 2999976^2 + 9603132^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 7066191 + ... + 15886190.

Almost surely, 2^{101220000210000} is an apocalyptic number.

101220000210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220000210000 is an abundant number, since it is smaller than the sum of its proper divisors (310553789156082).

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

101220000210000 is a wasteful number, since it uses less digits than its factorization.

101220000210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22952429 (or 22952398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101220000210000 its reverse (12000022101), we get a palindrome (101232000232101).

The spelling of 101220000210000 in words is "one hundred one trillion, two hundred twenty billion, two hundred ten thousand".