101021102211120 has 640 divisors, whose sum is σ = 396584923607040. Its totient is φ = 20699856322560.

The previous prime is 101021102211119. The next prime is 101021102211149. The reversal of 101021102211120 is 21112201120101.

It is a happy number.

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 101021102211120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 437055741 + ... + 437286819.

It is an arithmetic number, because the mean of its divisors is an integer number (619663943136).

Almost surely, 2^{101021102211120} is an apocalyptic number.

101021102211120 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 101021102211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198292461803520).

101021102211120 is an abundant number, since it is smaller than the sum of its proper divisors (295563821395920).

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

101021102211120 is a wasteful number, since it uses less digits than its factorization.

101021102211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231693 (or 231687 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101021102211120 its reverse (21112201120101), we get a palindrome (122133303331221).

The spelling of 101021102211120 in words is "one hundred one trillion, twenty-one billion, one hundred two million, two hundred eleven thousand, one hundred twenty".