1010021002120 has 128 divisors (see below), whose sum is σ = 2498526777600. Its totient is φ = 365161964544.

The previous prime is 1010021002087. The next prime is 1010021002121. The reversal of 1010021002120 is 212001200101.

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 = 1010021002097 and 1010021002106.

It is not an unprimeable number, because it can be changed into a prime (1010021002121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13826251 + ... + 13899109.

It is an arithmetic number, because the mean of its divisors is an integer number (19519740450).

Almost surely, 2^{1010021002120} is an apocalyptic number.

1010021002120 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 1010021002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249263388800).

1010021002120 is an abundant number, since it is smaller than the sum of its proper divisors (1488505775480).

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

1010021002120 is a wasteful number, since it uses less digits than its factorization.

1010021002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73439 (or 73435 counting only the distinct ones).

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

Adding to 1010021002120 its reverse (212001200101), we get a palindrome (1222022202221).

The spelling of 1010021002120 in words is "one trillion, ten billion, twenty-one million, two thousand, one hundred twenty".