101001303213120 has 168 divisors, whose sum is σ = 347411392982784. Its totient is φ = 26932983579648.

The previous prime is 101001303213101. The next prime is 101001303213137. The reversal of 101001303213120 is 21312303100101.

101001303213120 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 1 + 30 + 321 + 312 + 0 = 666.

It is a super-2 number, since 2×101001303213120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101001303213093 and 101001303213102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115996017 + ... + 116863503.

Almost surely, 2^{101001303213120} is an apocalyptic number.

101001303213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001303213120 is an abundant number, since it is smaller than the sum of its proper divisors (246410089769664).

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

101001303213120 is a wasteful number, since it uses less digits than its factorization.

101001303213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907937 (or 907924 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101001303213120 its reverse (21312303100101), we get a palindrome (122313606313221).

The spelling of 101001303213120 in words is "one hundred one trillion, one billion, three hundred three million, two hundred thirteen thousand, one hundred twenty".