101302120220 has 192 divisors, whose sum is σ = 256682151936. Its totient is φ = 32860692480.

The previous prime is 101302120187. The next prime is 101302120247. The reversal of 101302120220 is 22021203101.

It is a happy number.

It is a super-2 number, since 2×101302120220² (a number of 23 digits) contains 22 as substring.

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 = 101302120195 and 101302120204.

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, 30483479 + ... + 30486801.

It is an arithmetic number, because the mean of its divisors is an integer number (1336886208).

Almost surely, 2^101302120220 is an apocalyptic number.

101302120220 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 101302120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128341075968).

101302120220 is an abundant number, since it is smaller than the sum of its proper divisors (155380031716).

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

101302120220 is a wasteful number, since it uses less digits than its factorization.

101302120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101302120220 its reverse (22021203101), we get a palindrome (123323323321).

The spelling of 101302120220 in words is "one hundred one billion, three hundred two million, one hundred twenty thousand, two hundred twenty".