101211202120 has 64 divisors (see below), whose sum is σ = 260642292480. Its totient is φ = 34649661696.

The previous prime is 101211202093. The next prime is 101211202121. The reversal of 101211202120 is 21202112101.

It is a super-3 number, since 3×101211202120³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101211202120.

It is not an unprimeable number, because it can be changed into a prime (101211202121) 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, 77404 + ... + 456523.

It is an arithmetic number, because the mean of its divisors is an integer number (4072535820).

Almost surely, 2^101211202120 is an apocalyptic number.

101211202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211202120 is an abundant number, since it is smaller than the sum of its proper divisors (159431090360).

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

101211202120 is a wasteful number, since it uses less digits than its factorization.

101211202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534622 (or 534618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101211202120 its reverse (21202112101), we get a palindrome (122413314221).

The spelling of 101211202120 in words is "one hundred one billion, two hundred eleven million, two hundred two thousand, one hundred twenty".