1010021101012 has 96 divisors (see below), whose sum is σ = 2308529664000. Its totient is φ = 375135546240.

The previous prime is 1010021101007. The next prime is 1010021101027. The reversal of 1010021101012 is 2101011200101.

It is a super-3 number, since 3×1010021101012³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1010021101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10062 + ... + 1421317.

It is an arithmetic number, because the mean of its divisors is an integer number (24047184000).

Almost surely, 2^{1010021101012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010021101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154264832000).

1010021101012 is an abundant number, since it is smaller than the sum of its proper divisors (1298508562988).

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

1010021101012 is a wasteful number, since it uses less digits than its factorization.

1010021101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431509 (or 1431507 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010021101012 its reverse (2101011200101), we get a palindrome (3111032301113).

It can be divided in two parts, 10100 and 21101012, that added together give a palindrome (21111112).

The spelling of 1010021101012 in words is "one trillion, ten billion, twenty-one million, one hundred one thousand, twelve".