10101021201120 has 192 divisors, whose sum is σ = 32489529468480. Its totient is φ = 2637313671168.

The previous prime is 10101021201101. The next prime is 10101021201127. The reversal of 10101021201120 is 2110212010101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10101021201096 and 10101021201105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101021201127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3748396 + ... + 5852564.

It is an arithmetic number, because the mean of its divisors is an integer number (169216299315).

Almost surely, 2^{10101021201120} is an apocalyptic number.

10101021201120 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 10101021201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16244764734240).

10101021201120 is an abundant number, since it is smaller than the sum of its proper divisors (22388508267360).

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

10101021201120 is a wasteful number, since it uses less digits than its factorization.

10101021201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104397 (or 2104389 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10101021201120 its reverse (2110212010101), we get a palindrome (12211233211221).

The spelling of 10101021201120 in words is "ten trillion, one hundred one billion, twenty-one million, two hundred one thousand, one hundred twenty".