101211211220 has 96 divisors (see below), whose sum is σ = 257471198208. Its totient is φ = 32624750592.

The previous prime is 101211211181. The next prime is 101211211223. The reversal of 101211211220 is 22112112101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101211211195 and 101211211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211211223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2245829 + ... + 2290451.

It is an arithmetic number, because the mean of its divisors is an integer number (2681991648).

Almost surely, 2^101211211220 is an apocalyptic number.

101211211220 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 101211211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128735599104).

101211211220 is an abundant number, since it is smaller than the sum of its proper divisors (156259986988).

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

101211211220 is a wasteful number, since it uses less digits than its factorization.

101211211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45609 (or 45607 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101211211220 its reverse (22112112101), we get a palindrome (123323323321).

The spelling of 101211211220 in words is "one hundred one billion, two hundred eleven million, two hundred eleven thousand, two hundred twenty".