1201101000102 has 64 divisors (see below), whose sum is σ = 2828060179200. Its totient is φ = 376557310080.

The previous prime is 1201101000101. The next prime is 1201101000103. The reversal of 1201101000102 is 2010001011021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1201101000101) and next prime (1201101000103).

It is a super-2 number, since 2×1201101000102² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201101000101) 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, 890977 + ... + 1787747.

It is an arithmetic number, because the mean of its divisors is an integer number (44188440300).

Almost surely, 2^{1201101000102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201101000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414030089600).

1201101000102 is an abundant number, since it is smaller than the sum of its proper divisors (1626959179098).

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

1201101000102 is a wasteful number, since it uses less digits than its factorization.

1201101000102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898258 (or 898252 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1201101000102 its reverse (2010001011021), we get a palindrome (3211102011123).

The spelling of 1201101000102 in words is "one trillion, two hundred one billion, one hundred one million, one hundred two", and thus it is an aban number.