101842120272 has 40 divisors (see below), whose sum is σ = 263615252544. Its totient is φ = 33879875584.

The previous prime is 101842120271. The next prime is 101842120291. The reversal of 101842120272 is 272021248101.

It is a super-2 number, since 2×101842120272² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101842120271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2084913 + ... + 2133200.

Almost surely, 2^101842120272 is an apocalyptic number.

101842120272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101842120272 is an abundant number, since it is smaller than the sum of its proper divisors (161773132272).

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

101842120272 is a wasteful number, since it uses less digits than its factorization.

101842120272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218627 (or 4218621 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

Adding to 101842120272 its reverse (272021248101), we get a palindrome (373863368373).

The spelling of 101842120272 in words is "one hundred one billion, eight hundred forty-two million, one hundred twenty thousand, two hundred seventy-two".