101120213210100 has 576 divisors, whose sum is σ = 340268941393920. Its totient is φ = 22709237760000.

The previous prime is 101120213210099. The next prime is 101120213210119. The reversal of 101120213210100 is 1012312021101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101120213210100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21283982725 + ... + 21283987475.

It is an arithmetic number, because the mean of its divisors is an integer number (590744689920).

Almost surely, 2^{101120213210100} is an apocalyptic number.

101120213210100 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 101120213210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170134470696960).

101120213210100 is an abundant number, since it is smaller than the sum of its proper divisors (239148728183820).

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

101120213210100 is a wasteful number, since it uses less digits than its factorization.

101120213210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5553 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101120213210100 its reverse (1012312021101), we get a palindrome (102132525231201).

The spelling of 101120213210100 in words is "one hundred one trillion, one hundred twenty billion, two hundred thirteen million, two hundred ten thousand, one hundred".