101021110101120 has 128 divisors (see below), whose sum is σ = 351277951106880. Its totient is φ = 24489966080000.

The previous prime is 101021110101083. The next prime is 101021110101127. The reversal of 101021110101120 is 21101011120101.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 101021110101096 and 101021110101105.

It is not an unprimeable number, because it can be changed into a prime (101021110101127) 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, 2391577131 + ... + 2391619370.

Almost surely, 2^{101021110101120} is an apocalyptic number.

101021110101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021110101120 is an abundant number, since it is smaller than the sum of its proper divisors (250256841005760).

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

101021110101120 is a wasteful number, since it uses less digits than its factorization.

101021110101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783196534 (or 4783196522 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101021110101120 its reverse (21101011120101), we get a palindrome (122122121221221).

The spelling of 101021110101120 in words is "one hundred one trillion, twenty-one billion, one hundred ten million, one hundred one thousand, one hundred twenty".