101201211202220 has 192 divisors, whose sum is σ = 227416598728704. Its totient is φ = 37696554455040.

The previous prime is 101201211202207. The next prime is 101201211202229. The reversal of 101201211202220 is 22202112102101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (101201211202229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19361239247 + ... + 19361244473.

It is an arithmetic number, because the mean of its divisors is an integer number (1184461451712).

Almost surely, 2^{101201211202220} is an apocalyptic number.

101201211202220 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 101201211202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113708299364352).

101201211202220 is an abundant number, since it is smaller than the sum of its proper divisors (126215387526484).

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

101201211202220 is a wasteful number, since it uses less digits than its factorization.

101201211202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101201211202220 its reverse (22202112102101), we get a palindrome (123403323304321).

The spelling of 101201211202220 in words is "one hundred one trillion, two hundred one billion, two hundred eleven million, two hundred two thousand, two hundred twenty".