101012221100000 has 432 divisors, whose sum is σ = 301723665386976. Its totient is φ = 33126952320000.

The previous prime is 101012221099997. The next prime is 101012221100083. The reversal of 101012221100000 is 1122210101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112251854 + ... + 113148146.

It is an arithmetic number, because the mean of its divisors is an integer number (698434410618).

Almost surely, 2^{101012221100000} is an apocalyptic number.

101012221100000 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 101012221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150861832693488).

101012221100000 is an abundant number, since it is smaller than the sum of its proper divisors (200711444286976).

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

101012221100000 is an frugal number, since it uses more digits than its factorization.

101012221100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896365 (or 896330 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101012221100000 its reverse (1122210101), we get a palindrome (101013343310101).

The spelling of 101012221100000 in words is "one hundred one trillion, twelve billion, two hundred twenty-one million, one hundred thousand".