101023211320000 has 140 divisors (see below), whose sum is σ = 250557471737496. Its totient is φ = 40400776960000.

The previous prime is 101023211319929. The next prime is 101023211320007. The reversal of 101023211320000 is 23112320101.

101023211320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101023211320000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101023211320007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191456535 + ... + 191983465.

Almost surely, 2^{101023211320000} is an apocalyptic number.

101023211320000 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 101023211320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125278735868748).

101023211320000 is an abundant number, since it is smaller than the sum of its proper divisors (149534260417496).

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

101023211320000 is an frugal number, since it uses more digits than its factorization.

101023211320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531756 (or 531731 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101023211320000 its reverse (23112320101), we get a palindrome (101046323640101).

The spelling of 101023211320000 in words is "one hundred one trillion, twenty-three billion, two hundred eleven million, three hundred twenty thousand".