1000101122020 has 144 divisors (see below), whose sum is σ = 2870220685248. Its totient is φ = 287741341440.

The previous prime is 1000101122011. The next prime is 1000101122029. The reversal of 1000101122020 is 202211010001.

It is an interprime number because it is at equal distance from previous prime (1000101122011) and next prime (1000101122029).

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 = 1000101121988 and 1000101122006.

It is not an unprimeable number, because it can be changed into a prime (1000101122029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3428082 + ... + 3708361.

It is an arithmetic number, because the mean of its divisors is an integer number (19932088092).

Almost surely, 2^{1000101122020} is an apocalyptic number.

1000101122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000101122020 is an abundant number, since it is smaller than the sum of its proper divisors (1870119563228).

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

1000101122020 is a wasteful number, since it uses less digits than its factorization.

1000101122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7136490 (or 7136481 counting only the distinct ones).

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

Adding to 1000101122020 its reverse (202211010001), we get a palindrome (1202312132021).

The spelling of 1000101122020 in words is "one trillion, one hundred one million, one hundred twenty-two thousand, twenty".