101101010211220 has 192 divisors, whose sum is σ = 229037781643776. Its totient is φ = 37397780766720.

The previous prime is 101101010211211. The next prime is 101101010211241. The reversal of 101101010211220 is 22112010101101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101101010211220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 859110304 + ... + 859227976.

It is an arithmetic number, because the mean of its divisors is an integer number (1192905112728).

Almost surely, 2^{101101010211220} is an apocalyptic number.

101101010211220 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 101101010211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114518890821888).

101101010211220 is an abundant number, since it is smaller than the sum of its proper divisors (127936771432556).

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

101101010211220 is a wasteful number, since it uses less digits than its factorization.

101101010211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118290 (or 118288 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101010211220 its reverse (22112010101101), we get a palindrome (123213020312321).

The spelling of 101101010211220 in words is "one hundred one trillion, one hundred one billion, ten million, two hundred eleven thousand, two hundred twenty".