101011020220 has 144 divisors (see below), whose sum is σ = 239330516544. Its totient is φ = 35762918400.

The previous prime is 101011020203. The next prime is 101011020233. The reversal of 101011020220 is 22020110101.

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 = 101011020197 and 101011020206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81657442 + ... + 81658678.

It is an arithmetic number, because the mean of its divisors is an integer number (1662017476).

Almost surely, 2^101011020220 is an apocalyptic number.

101011020220 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 101011020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119665258272).

101011020220 is an abundant number, since it is smaller than the sum of its proper divisors (138319496324).

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

101011020220 is a wasteful number, since it uses less digits than its factorization.

101011020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101011020220 its reverse (22020110101), we get a palindrome (123031130321).

It can be divided in two parts, 1010110 and 20220, that added together give a triangular number (1030330 = T₁₄₃₅).

The spelling of 101011020220 in words is "one hundred one billion, eleven million, twenty thousand, two hundred twenty".