101111002020 has 144 divisors (see below), whose sum is σ = 355455330048. Its totient is φ = 22785557760.

The previous prime is 101111001991. The next prime is 101111002049. The reversal of 101111002020 is 20200111101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101111001991) and next prime (101111002049).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101111001993 and 101111002011.

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, 475659 + ... + 654578.

It is an arithmetic number, because the mean of its divisors is an integer number (2468439792).

Almost surely, 2^101111002020 is an apocalyptic number.

101111002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111002020 is an abundant number, since it is smaller than the sum of its proper divisors (254344328028).

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

101111002020 is a wasteful number, since it uses less digits than its factorization.

101111002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130330 (or 1130325 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101111002020 its reverse (20200111101), we get a palindrome (121311113121).

The spelling of 101111002020 in words is "one hundred one billion, one hundred eleven million, two thousand, twenty".