101011012101120 has 352 divisors, whose sum is σ = 353081172894336. Its totient is φ = 24443532083200.

The previous prime is 101011012101073. The next prime is 101011012101127. The reversal of 101011012101120 is 21101210110101.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×101011012101120² (a number of 29 digits) contains 22 as substring.

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 = 101011012101096 and 101011012101105.

It is not an unprimeable number, because it can be changed into a prime (101011012101127) 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, 93574060 + ... + 94647380.

Almost surely, 2^{101011012101120} is an apocalyptic number.

101011012101120 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 101011012101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176540586447168).

101011012101120 is an abundant number, since it is smaller than the sum of its proper divisors (252070160793216).

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

101011012101120 is a wasteful number, since it uses less digits than its factorization.

101011012101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073917 (or 1073899 counting only the distinct ones).

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

Adding to 101011012101120 its reverse (21101210110101), we get a palindrome (122112222211221).

The spelling of 101011012101120 in words is "one hundred one trillion, eleven billion, twelve million, one hundred one thousand, one hundred twenty".