1011002123100 has 144 divisors (see below), whose sum is σ = 2964120749408. Its totient is φ = 266026844160.

The previous prime is 1011002123071. The next prime is 1011002123101. The reversal of 1011002123100 is 13212001101.

1011002123100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1011002123100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011002123101) 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, 9755154 + ... + 9858246.

Almost surely, 2^{1011002123100} is an apocalyptic number.

1011002123100 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 1011002123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482060374704).

1011002123100 is an abundant number, since it is smaller than the sum of its proper divisors (1953118626308).

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

1011002123100 is a wasteful number, since it uses less digits than its factorization.

1011002123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103544 (or 103537 counting only the distinct ones).

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

Adding to 1011002123100 its reverse (13212001101), we get a palindrome (1024214124201).

The spelling of 1011002123100 in words is "one trillion, eleven billion, two million, one hundred twenty-three thousand, one hundred".