1020012101000 has 64 divisors (see below), whose sum is σ = 2389335090480. Its totient is φ = 407576332800.

The previous prime is 1020012100973. The next prime is 1020012101027. The reversal of 1020012101000 is 1012100201.

It is an interprime number because it is at equal distance from previous prime (1020012100973) and next prime (1020012101027).

It can be written as a sum of positive squares in 8 ways, for example, as 1095477604 + 1018916623396 = 33098^2 + 1009414^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417842 + ... + 1488158.

Almost surely, 2^{1020012101000} is an apocalyptic number.

1020012101000 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 1020012101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194667545240).

1020012101000 is an abundant number, since it is smaller than the sum of its proper divisors (1369322989480).

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

1020012101000 is a wasteful number, since it uses less digits than its factorization.

1020012101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071291 (or 1071277 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1020012101000 its reverse (1012100201), we get a palindrome (1021024201201).

The spelling of 1020012101000 in words is "one trillion, twenty billion, twelve million, one hundred one thousand".