101202021122000 has 160 divisors (see below), whose sum is σ = 259436242544544. Its totient is φ = 38050286592000.

The previous prime is 101202021121991. The next prime is 101202021122053. The reversal of 101202021122000 is 221120202101.

It can be written as a sum of positive squares in 16 ways, for example, as 99827114787904 + 1374906334096 = 9991352^2 + 1172564^2 .

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, 24356690 + ... + 28207310.

Almost surely, 2^{101202021122000} is an apocalyptic number.

101202021122000 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 101202021122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129718121272272).

101202021122000 is an abundant number, since it is smaller than the sum of its proper divisors (158234221422544).

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

101202021122000 is a wasteful number, since it uses less digits than its factorization.

101202021122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851434 (or 3851418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101202021122000 its reverse (221120202101), we get a palindrome (101423141324101).

The spelling of 101202021122000 in words is "one hundred one trillion, two hundred two billion, twenty-one million, one hundred twenty-two thousand".