101011210120 has 32 divisors (see below), whose sum is σ = 239237078400. Its totient is φ = 38277931968.

The previous prime is 101011210051. The next prime is 101011210121. The reversal of 101011210120 is 21012110101.

101011210120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101011210097 and 101011210106.

It is not an unprimeable number, because it can be changed into a prime (101011210121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66453984 + ... + 66455503.

It is an arithmetic number, because the mean of its divisors is an integer number (7476158700).

Almost surely, 2^101011210120 is an apocalyptic number.

101011210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011210120 is an abundant number, since it is smaller than the sum of its proper divisors (138225868280).

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

101011210120 is a wasteful number, since it uses less digits than its factorization.

101011210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132909517 (or 132909513 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101011210120 its reverse (21012110101), we get a palindrome (122023320221).

It can be divided in two parts, 10101 and 1210120, that added together give a palindrome (1220221).

The spelling of 101011210120 in words is "one hundred one billion, eleven million, two hundred ten thousand, one hundred twenty".