101022000201120 has 96 divisors (see below), whose sum is σ = 326819822329728. Its totient is φ = 26211113561088.

The previous prime is 101022000201113. The next prime is 101022000201121. The reversal of 101022000201120 is 21102000220101.

101022000201120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 101022000201096 and 101022000201105.

It is not an unprimeable number, because it can be changed into a prime (101022000201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2844070084 + ... + 2844105603.

It is an arithmetic number, because the mean of its divisors is an integer number (3404373149268).

Almost surely, 2^{101022000201120} is an apocalyptic number.

101022000201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022000201120 is an abundant number, since it is smaller than the sum of its proper divisors (225797822128608).

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

101022000201120 is a wasteful number, since it uses less digits than its factorization.

101022000201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688175742 (or 5688175734 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101022000201120 its reverse (21102000220101), we get a palindrome (122124000421221).

The spelling of 101022000201120 in words is "one hundred one trillion, twenty-two billion, two hundred one thousand, one hundred twenty".