101211122120220 has 72 divisors (see below), whose sum is σ = 350865223354464. Its totient is φ = 23133970770048.

The previous prime is 101211122120219. The next prime is 101211122120221. The reversal of 101211122120220 is 22021221112101.

101211122120220 is a `hidden beast` number, since 1 + 0 + 121 + 112 + 212 + 0 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (101211122120219) and next prime (101211122120221).

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 = 101211122120193 and 101211122120202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211122120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40163142439 + ... + 40163144958.

Almost surely, 2^{101211122120220} is an apocalyptic number.

101211122120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211122120220 is an abundant number, since it is smaller than the sum of its proper divisors (249654101234244).

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

101211122120220 is a wasteful number, since it uses less digits than its factorization.

101211122120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80326287419 (or 80326287414 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101211122120220 its reverse (22021221112101), we get a palindrome (123232343232321).

The spelling of 101211122120220 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty".