1012021101102 has 192 divisors, whose sum is σ = 2375454988800. Its totient is φ = 284973312000.

The previous prime is 1012021101083. The next prime is 1012021101107. The reversal of 1012021101102 is 2011011202101.

It is a super-2 number, since 2×1012021101102² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012021101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1153957488 + ... + 1153958364.

It is an arithmetic number, because the mean of its divisors is an integer number (12372161400).

Almost surely, 2^{1012021101102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012021101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187727494400).

1012021101102 is an abundant number, since it is smaller than the sum of its proper divisors (1363433887698).

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

1012021101102 is a wasteful number, since it uses less digits than its factorization.

1012021101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012021101102 its reverse (2011011202101), we get a palindrome (3023032303203).

The spelling of 1012021101102 in words is "one trillion, twelve billion, twenty-one million, one hundred one thousand, one hundred two".